iCON Education - Motion in a Plane AP-EAPCET Test

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Student

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AP-EAPCET

Test Name

Motion in a Plane

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Physics

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Question 1: Palette 1/41

AP-EAPCET 2025 MCQ

If two bodies $A$ and $B$ are projected with same velocity but with different angles $\theta_1$ and $\theta_2$ respectively with the horizontal such that both will have same range, then the ratio of times of flight of the bodies $A$ and $B$ is

$\sin \theta_2$

$\sin \theta_1$

$\tan \theta_2$

$\tan \theta_1$

Question 2: Palette 2/41

AP-EAPCET 2025 MCQ

If the horizontal range of a body projected with a velocity ' $u$ ' is 3 times the maximum height reached by it, then the range of the body is

( $g=$ Acceleration due to gravity)

$\frac{2 u^2}{3 g}$

$\frac{4 u^2}{5 g}$

$\frac{12 u^2}{13 g}$

$\frac{24 u^2}{25 g}$

Question 3: Palette 3/41

AP-EAPCET 2025 MCQ

If the velocity at the maximum height of a projectile projected at an angle of $45^{\circ}$ is $20 \mathrm{~ms}^{-1}$, then the maximum height reached by the projectile is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

10 m

20 m

30 m

40 m

Question 4: Palette 4/41

AP-EAPCET 2025 MCQ

If a body of mass 2 kg moving with initial velocity of $4 \mathrm{~ms}^{-1}$ is subjected to a force of 3 N for a time of 2 s normal to the direction of its initial velocity, then the resultant velocity of the body is

$7 \mathrm{~ms}^{-1}$

$5 \mathrm{~ms}^{-1}$

$2 \mathrm{~ms}^{-1}$

$7.5 \mathrm{~ms}^{-1}$

Question 5: Palette 5/41

AP-EAPCET 2025 MCQ

If the range of a body projected with a velocity of $60 \mathrm{~ms}^{-1}$ is $180 \sqrt{3} \mathrm{~m}$, then the angle of projection of the body is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

$30^{\circ}$ or $60^{\circ}$

$37^{\circ}$ or $53^{\circ}$

$20^{\circ}$ or $70^{\circ}$

$15^{\circ}$ or $75^{\circ}$

Question 6: Palette 6/41

AP-EAPCET 2025 MCQ

If the height of a projectile at a time of 2 s from the beginning of motion is 60 m , then the time of flight of the projectile is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

12 s

4 s

6 s

8 s

Question 7: Palette 7/41

AP-EAPCET 2025 MCQ

The angle of projection of a projectile whose path is shown in the given figure is

AP EAPCET 2025 - 23rd May Morning Shift Physics - Motion in a Plane Question 5 English

$\tan ^{-1}(1)$

$\tan ^{-1}\left(\frac{8}{3}\right)$

$\tan ^{-1}\left(\frac{4}{3}\right)$

$\tan ^{-1}\left(\frac{5}{3}\right)$

Question 8: Palette 8/41

AP-EAPCET 2025 MCQ

If the equation of motion of a projectile is $y=A x-B x^2$, then the ratio of the maximum height reached and the range of the projectile is

$\frac{A}{4}$

$\frac{A}{B}$

$\frac{B}{4}$

$\frac{A^2}{B}$

Question 9: Palette 9/41

AP-EAPCET 2025 MCQ

The height of ceiling in an auditorium is 30 m . A ball is thrown with a speed of $30 \mathrm{~ms}^{-1}$ from the entrance such that it just moves very near to the ceiling without touching it and then it reaches the ground at the end of the auditorium. Then, the length of auditorium is [Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ ]

$60 \sqrt{2} \mathrm{~m}$

$30 \sqrt{2} \mathrm{~m}$

$70 \sqrt{2} \mathrm{~m}$

$100 \sqrt{2} \mathrm{~m}$

Question 10: Palette 10/41

AP-EAPCET 2025 MCQ

A particle crossing the origin at time $t=0$ moves in the $X Y$-plane with a constant acceleration ' $a$ ' in $y$-direction. If the equation of motion of the particle is $y=b x^2$ (where $b$ is a constant), then its velocity component in the $x$-direction is

$\sqrt{\frac{2 b}{a}}$

$\sqrt{\frac{a}{2 b}}$

$\sqrt{\frac{a}{b}}$

$\sqrt{\frac{b}{a}}$

Question 11: Palette 11/41

AP-EAPCET 2025 MCQ

If a ball projected vertically upwards with certain initial velocity from the ground crosses a point at a height of 25 m twice in a time interval of 4 s , then the initial velocity of the ball is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

$20 \mathrm{~ms}^{-1}$

$30 \mathrm{~ms}^{-1}$

$40 \mathrm{~ms}^{-1}$

$25 \mathrm{~ms}^{-1}$

Question 12: Palette 12/41

AP-EAPCET 2025 MCQ

A car is moving with a velocity of $4 \mathrm{~ms}^{-1}$ towards east. After a time of 4 s , if it is heading north-east with a velocity of $4 \sqrt{2} \mathrm{~ms}^{-1}$, then the average velocity of the car is

$2 \sqrt{5} \mathrm{~ms}^{-1}$

$3 \sqrt{5} \mathrm{~ms}^{-1}$

$4 \sqrt{3} \mathrm{~ms}^{-1}$

$5 \sqrt{3} \mathrm{~ms}^{-1}$

Question 13: Palette 13/41

AP-EAPCET 2025 MCQ

A body of mass 5 kg starts from the origin with an initial velocity $(30 \hat{\mathbf{i}}+40 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$. If a constant force $-(\hat{\mathbf{i}}+5 \hat{\mathbf{j}}) \mathrm{N}$ acts on the body, then the time in which the $y$-component of its velocity becomes zero is

5 s

20 s

40 s

80 s

Question 14: Palette 14/41

AP-EAPCET 2025 MCQ

If bullets are fired in all possible directions from same point with equal velocity of $10 \mathrm{~ms}^{-1}$ and with an angle of projection $45^{\circ}$, then the area covered by the bullets on the ground is nearly (Acceleration due to gravity $=10 \mathrm{~m} \mathrm{~s}^{-2}$ )

$628 \mathrm{~m}^2$

$314 \mathrm{~m}^2$

$157 \mathrm{~m}^2$

$79 \mathrm{~m}^2$

Question 15: Palette 15/41

AP-EAPCET 2025 MCQ

A ball is projected from a point with a speed $V_0$ at certain angle with the horizontal. From the same point and at the same instant, a person starts running with a constant speed $0.5 V_0$ to catch the ball. If the person catches the ball after some time, then the angle of projection of the ball is

$60^{\circ}$

$30^{\circ}$

$45^{\circ}$

$53^{\circ}$

Question 16: Palette 16/41

AP-EAPCET 2024 MCQ

Path of projectile is given by the equation $Y=P x-Q x^2$, match the following accordingly (acceleration due to gravity $=g$ )

$ \begin{array}{llll} \hline \text { a. } & \text { Range } & \text { i } & \frac{P}{Q} \\ \hline \text { b. } & \text { Maximum height } & \text { ii } & P \\ \hline \text { c. } & \text { Time of flight } & \text { iii } & \frac{P^2}{4 Q} \\ \hline \text { d. } & \text { Tangent of projection } & \text { iv } & \left(\sqrt{\frac{2}{g Q}}\right) P \\ \hline \end{array} $

a-i,b-iii, c-iv, d-ii

a-i, b-iii, c-ii, d-iv

a-iii, b-i, c-iv, d-ii

a-iv, b-ii, c-iii, d-i

Question 17: Palette 17/41

AP-EAPCET 2024 MCQ

A bowling machine placed at a height $h$ above the earth surface releases different balls with different angles but with same velocity $10 \sqrt{3} \mathrm{~ms}^{-1}$. All these balls landing velocities make angels $30^{\circ}$ or more with horizontal. Then the height $h$ (in metre) (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

Question 18: Palette 18/41

AP-EAPCET 2024 MCQ

A boy throws a ball with a velocity $v_0$ at an angle $\alpha$ to the ground. At the same time he starts running with uniform velocity to catch the ball before it hits the ground. To achieve this, he should run with a velocity of

$v_0 \cos \alpha$

$v_0 \sin \alpha$

$v_0 \tan \alpha$

$\sqrt{v_0{ }^2 \tan \alpha}$

Question 19: Palette 19/41

AP-EAPCET 2024 MCQ

A ball at point $O$ is at a horizontal distance of 7 m from a wall. On the wall a target is set at point $C$. If the ball is throw from $O$ at an angle $37^{\circ}$ with horizontal aiming the target $C$. But it hits the wall at point $D$ which is at a vertical distance $y_0$ below $C$. If the initial velocity of the ball is $15 \mathrm{~ms}^{-1}$. Find $y_0\left(\right.$ given, $\left.\cos 37^{\circ}=\frac{4}{5}\right)$ AP EAPCET 2024 - 22th May Evening Shift Physics - Motion in a Plane Question 18 English

AP EAPCET 2024 - 22th May Evening Shift Physics - Motion in a Plane Question 18 English

2 m

1.5 m

1.7 m

3 m

Question 20: Palette 20/41

AP-EAPCET 2024 MCQ

The relation between the horizontal displacement $x$ (in metre) and the vertical displacement $y$ (in metre) of a projectile is $y=3 x-0.8 x^2$. The time of flight of the projectile is (Acceleration due to gravity, $g=10 \mathrm{~ms}^{-2}$ )

1.5 s

3 s

2 s

2.5 s

Question 21: Palette 21/41

AP-EAPCET 2024 MCQ

A boy weighing 50 kg finished long jump at a distance of 8 m . Considering that he moved along a parabolic path and his angle of jump is $45^{\circ}$, his initial KE is

960 J

1560 J

2460 J

1960 J

Question 22: Palette 22/41

AP-EAPCET 2024 MCQ

The maximum height attained by projectile is increased by $10 \%$ by keeping the angle of projection constant. What is the percentage increase in the time of flight ?

$5 \%$

$10 \%$

$20 \%$

$40 \%$

Question 23: Palette 23/41

AP-EAPCET 2024 MCQ

The horizontal range of a projectile projected at an angle of $45^{\circ}$ with the horizontal is 50 m . The height of the projectile when its horizontal displacement is 20 m is

18 m

36 m

12 m

24 m

Question 24: Palette 24/41

AP-EAPCET 2024 MCQ

A body of mass 1.5 kg is moving towards south with a uniform velocity of $8 \mathrm{~ms}^{-1}$. A force of 6 N is applied to the body towards east. The displacement of the body 3 s after the application of the force is

24 m

30 m

18 m

42 m

Question 25: Palette 25/41

AP-EAPCET 2024 MCQ

If two stones are projected at angle $\theta$ and $\left(90^{\circ}-\theta\right)$ respectively with horizontal with a speed of $20 \mathrm{~ms}^{-1}$. If second stone rises 10 m higher than the first stone then, the angle of projection $\theta$ is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

$45^{\circ}$

$30^{\circ}$

$60^{\circ}$

$20^{\circ}$

Question 26: Palette 26/41

AP-EAPCET 2024 MCQ

An object of mas $m$ is projected with an initial velocity $u$ with angle of $\theta$ with the horizontal. The average power delivered by gravity in reaching the highest point

$\frac{m g u \sin ^2 \theta}{2}$

$\frac{m u^2 \sin ^2 \theta}{2 g}$

$\frac{m g \sin ^2 \theta}{2 u}$

$\frac{m g u \sin \theta}{2}$

Question 27: Palette 27/41

AP-EAPCET 2024 MCQ

A projectile can have the same range $R$ for two angles of projection. Their initial velocities are same. If $T_1$ and $T_2$ are times of flight in two cases, then the product of two times of flight is directly proportional to

$\frac{1}{R}$

$R^3$

$R^2$

$R$

Question 28: Palette 28/41

AP-EAPCET 2024 MCQ

A 2 kg ball thrown vertically upward and another 3 kg ball projected with certain angle $\left(\theta \neq 90^{\circ}\right)$ both will have same time of flight, then this ratio of their maximum heights is

$3: 2$

$\sqrt{3}: 2$

$1: 1$

Question 29: Palette 29/41

AP-EAPCET 2024 MCQ

In a sport event, a disc is thrown such that it reaches its maximum range of 80 m , the distance travelled in first 3 s is $\left(g=10 \mathrm{~ms}^{-2}\right)$

80 m

60 m

72 m

74 m

Question 30: Palette 30/41

AP-EAPCET 2024 MCQ

Object is projected such that it has to attain maximum range. Another body is projected to reach maximum heigh. If both the objects reached the same maximum height, then the ratio of initial velocities

$2: 1$

$\sqrt{2} : 1$

$1: \sqrt{2}$

$1: 2$

Question 31: Palette 31/41

AP-EAPCET 2024 MCQ

Ball is projected at an angle of $45^{\circ}$ with the horizontal．It passes through a wall of height $h$ at a horizontal distance $d_1$ from the point of profection and strikes the ground at a distance $d_1+d_2$ from the point of projection, then $h$ is :

$h=\frac{2 d d_2}{d_1+d_2}$

$h=\frac{d d_2}{d_1+d_2}$

$h=\frac{\sqrt{2} d d_2}{d_1+d_2}$

$h=\frac{d d_2}{2\left(d_1+d_2\right)}$

Question 32: Palette 32/41

AP-EAPCET 2024 MCQ

second after projection，a projectile is travelling in a direction inclined at $45^{\circ}$ to horizontal．After two more seconds，it is travelling horizontally．Then，the magnitude of velocity of the projectile is $\left(g=10 \mathrm{~ms}^{-2}\right)$

$10 \sqrt{13} \mathrm{~ms}^{-1}$

$11 \mathrm{~ms}^{-1}$

$10 \sqrt{2} \mathrm{~ms}^{-1}$

$20 \mathrm{~ms}^{-1}$

Question 33: Palette 33/41

AP-EAPCET 2022 MCQ

A projectile is launched from the ground, such that it hits a target on the ground which is 90 m away. The minimum velocity of projectile to hit the target is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

$10 \mathrm{~ms}^{-1}$

$16 \mathrm{~ms}^{-1}$

$60 \mathrm{~ms}^{-1}$

$30 \mathrm{~ms}^{-1}$

Question 34: Palette 34/41

AP-EAPCET 2022 MCQ

A force $\mathbf{F}_1$ of magnitude 4 N acts on an object of mass 1 kg , at origin in a direction $30^{\circ}$ above the positive $X$-axis. A second $F_2$ of magnitude 4 N acts on the same object in the direction of the positive $Y$-axis. The magnitude of the acceleration of the object is nearly.

$6.9 \mathrm{~ms}^{-2}$

$7.6 \mathrm{~ms}^{-2}$

$4.3 \mathrm{~ms}^{-2}$

$8.0 \mathrm{~ms}^{-2}$

Question 35: Palette 35/41

AP-EAPCET 2022 MCQ

A car travels with a speed of $40 \mathrm{~km} \mathrm{~h}^{-1}$. Rain drops are falling at a constant speed vertically. The traces of the rain on the side windows of the car make an angle of $30^{\circ}$ with the vertical. The magnitude of the velocity of the rain with respect to the car is

$40 \sqrt{3} \mathrm{~km} \mathrm{~h}^{-1}$

$\frac{40}{\sqrt{3}} \mathrm{~km} \mathrm{~h}^{-1}$

$80 \mathrm{~km} \mathrm{~h}^{-1}$

$\frac{80}{\sqrt{3}} \mathrm{~km} \mathrm{~h}^{-1}$

Question 36: Palette 36/41

AP-EAPCET 2022 MCQ

A projectile with speed $50 \mathrm{~ms}^{-1}$ is thrown at an angle of $60^{\circ}$ with the horizontal. The maximum height that can be reached is (acceleration due to gravity $=10 \mathrm{~ms}^{-2}$)

90.75 m

70.00 m

85.00 m

93.75 m

Question 37: Palette 37/41

AP-EAPCET 2021 MCQ

A hiker stands on the edge of a cliff $490 \mathrm{~m}$ above the ground and throws a stone horizontally with an initial speed of $15 \mathrm{~ms}^{-1}$. The speed with which it hits the ground is

$99 \mathrm{~ms}^{-1}$

$101 \mathrm{~ms}^{-1}$

$103 \mathrm{~ms}^{-1}$

$105 \mathrm{~ms}^{-1}$

Question 38: Palette 38/41

AP-EAPCET 2021 MCQ

Two paper screens $A$ and $B$ are separated by $150 \mathrm{~m}$. A bullet pierces $A$ and than $B$. The hole in $B$ is $15 \mathrm{~cm}$ below the hole in $A$. If the bullet is travelling horizontally at the time of hitting $A$, then the velocity of the bullet at $A$ is $\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)$

$100 \sqrt{3} \mathrm{~ms}^{-1}$

$200 \sqrt{3} \mathrm{~ms}^{-1}$

$300 \sqrt{3} \mathrm{~ms}^{-1}$

$500 \sqrt{3} \mathrm{~ms}^{-1}$

Question 39: Palette 39/41

AP-EAPCET 2021 MCQ

A boy throws a cricket ball from the boundary to the wicket keeper. If the frictional force due to air $(f_a )$ cannot be ignored, the forces acting on the ball at the position X are represented by

AP EAPCET 2021 - 20th August Morning Shift Physics - Motion in a Plane Question 39 English

AP EAPCET 2021 - 20th August Morning Shift Physics - Motion in a Plane Question 39 English Option 3

AP EAPCET 2021 - 20th August Morning Shift Physics - Motion in a Plane Question 39 English Option 4

Question 40: Palette 40/41

AP-EAPCET 2021 MCQ

A particle of mass m is projected with a velocity u making an angle $\theta$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is

$\frac{m u \sin ^2 \theta \cos \theta}{2 g}$

$\frac{2 m u^2 \cos ^2 \theta \sin \theta}{g}$

$\frac{m u^3 \sin ^2 \theta \cos \theta}{2 g}$

Question 41: Palette 41/41

AP-EAPCET 2021 MCQ

When a ball is thrown with a velocity of 50 ms$^{-1}$ at an angle 30$\Upsilon$ with the horizontal, it remains in the air for ......... s.

(Take, g = 10 ms$^{-2}$)

2.5

1.25

0.625

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