← Back to Physics-I

Kinematics-2D

362 Questions Start Errorless Test
All Exams Allen Advance Errorless
Q301 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 1

A point moves in the plane x, y according to the law $x = kt$ , $y = kt(1 - \alpha t)$ , where k and $\alpha$ are positive constants and t is the time. Based on the above facts, answer the following questions. The velocity $v$ of the point is minimum at time
A.
$t = \frac{1}{\alpha}$
B.
$t = \frac{1}{2\alpha}$
C.
$t = \frac{2}{\alpha}$
D.
$t = \frac{1}{3\alpha}$
Q302 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 1

A point moves in the plane x, y according to the law $x = kt$ , $y = kt(1 - \alpha t)$ , where k and $\alpha$ are positive constants and t is the time. Based on the above facts, answer the following questions. The acceleration of the particle at time when the velocity has a minimum value is
A.
$(2 k \alpha) \hat {j}$
B.
$(k \alpha) \hat {j}$
C.
$\left(\frac {k \alpha}{2}\right) \hat {j}$
D.
$- 2 (k \alpha) \hat {j}$
Q303 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 1

A point moves in the plane x, y according to the law $x = kt$ , $y = kt(1 - \alpha t)$ , where k and $\alpha$ are positive constants and t is the time. Based on the above facts, answer the following questions. The moment $t_0$ at which the velocity vector forms an angle $\frac{\pi}{4}$ with the acceleration vector is
A.
$\frac{1}{\alpha}$
B.
$\frac{1}{2\alpha}$
C.
$\frac{2}{\alpha}$
D.
$\frac{1}{3\alpha}$
Q304 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 2

A particle is projected from a point A with velocity $u\sqrt{2}$ at an angle of $45^{\circ}$ with horizontal as shown in figure. It strikes the plane BC at right angles. Based on the above facts, answer the following questions. The velocity of the particle at the time of collision is
A.
u
B.
$\frac{u}{2}$
C.
$\frac{\sqrt{3}u}{2}$
D.
$\frac{2u}{\sqrt{3}}$
Q305 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 2

A particle is projected from a point A with velocity $u\sqrt{2}$ at an angle of $45^{\circ}$ with horizontal as shown in figure. It strikes the plane BC at right angles. Based on the above facts, answer the following questions. The time after which collision takes place is
A.
$\frac{u}{g}$
B.
$\frac{\sqrt{3}u}{g}$
C.
$\frac{u}{g}\left(\frac{\sqrt{3}+1}{\sqrt{3}}\right)$
D.
$\left(\frac{\sqrt{3}}{\sqrt{3}-1}\right)\frac{u}{g}$
Q306 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 3

An oblique projectile is launched from a point O with an initial velocity u that makes an angle $\theta$ with the horizontal. It is observed that the projectile attains a maximum height H at the point $\left(\frac{R}{2}, H\right)$ , where R is the maximum distance from O at which the projectile strikes the ground. Now, if the velocity of the projectile is $\vec{v} = (20\hat{i} + 10\hat{j}) \, \text{ms}^{-1}$ when it is at a height of 15 m above the ground, then based on this information and taking $g = 10 \, ms^{-2}$ , answer the following questions. The launch speed in $\mathrm{ms}^{-1}$ is
A.
$20\mathrm{ms}^{-1}$
B.
$20\sqrt{2}\mathrm{ms}^{-1}$
C.
$40\mathrm{ms}^{-1}$
D.
$40\sqrt{2}\mathrm{ms}^{-1}$
Q307 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 3

An oblique projectile is launched from a point O with an initial velocity u that makes an angle $\theta$ with the horizontal. It is observed that the projectile attains a maximum height H at the point $\left(\frac{R}{2}, H\right)$ , where R is the maximum distance from O at which the projectile strikes the ground. Now, if the velocity of the projectile is $\vec{v} = (20\hat{i} + 10\hat{j}) \, \text{ms}^{-1}$ when it is at a height of 15 m above the ground, then based on this information and taking $g = 10 \, ms^{-2}$ , answer the following questions. The value of $\theta$ (in radian) is
A.
$\frac{\pi}{6}$
B.
$\frac{\pi}{4}$
C.
$\frac{\pi}{3}$
D.
$\frac{2\pi}{3}$
Q308 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 3

An oblique projectile is launched from a point O with an initial velocity u that makes an angle $\theta$ with the horizontal. It is observed that the projectile attains a maximum height H at the point $\left(\frac{R}{2}, H\right)$ , where R is the maximum distance from O at which the projectile strikes the ground. Now, if the velocity of the projectile is $\vec{v} = (20\hat{i} + 10\hat{j}) \, \text{ms}^{-1}$ when it is at a height of 15 m above the ground, then based on this information and taking $g = 10 \, ms^{-2}$ , answer the following questions. The coordinate, where the maximum height is attained is
A.
(80, 20) m
B.
(20, 40) m
C.
(20, 80) m
D.
(40, 20) m
Q309 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 4

Consider the situation shown in the figure. A particle has to be projected from point P in horizontal direction. It is required for the particle to strike the plane AB (see figure). The minimum value of horizontal velocity of particle at point $P$ so that particle may strike the plane $AB$ is
A.
$\sqrt{\frac{9}{8}ag}$
B.
$\sqrt{\frac{25}{8}ag}$
C.
$\sqrt{\frac{1}{2}ag}$
D.
$\sqrt{3ag}$
Q310 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 4

Consider the situation shown in the figure. A particle has to be projected from point P in horizontal direction. It is required for the particle to strike the plane AB (see figure). The time taken by particle in going from point $P$ to plane $AB$ is
A.
$4\sqrt{\frac{a}{g}}$
B.
$\sqrt{\frac{4a}{g}}$
C.
$\sqrt{\frac{2a}{g}}$
D.
$\sqrt{\frac{8a}{g}}$
Q311 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 4

Consider the situation shown in the figure. A particle has to be projected from point P in horizontal direction. It is required for the particle to strike the plane AB (see figure). The maximum value of horizontal velocity of particle at point $P$ so that it may strike the plane $AB$ is
A.
$\sqrt{\frac{9}{8}ag}$
B.
$\sqrt{\frac{25}{8}ag}$
C.
$\sqrt{\frac{1}{2}ag}$
D.
$\sqrt{3ag}$
Q312 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 5

A ball is projected horizontally from a height of 100 m from the ground with a speed of $20 \, ms^{-1}$ . Taking $g = 10 \, ms^{-2}$ and based on the information provided, answer the following questions. The time taken to reach the ground is
A.
$\sqrt{5}$ s
B.
$2\sqrt{5}$ s
C.
$3\sqrt{5}$ s
D.
$4\sqrt{5}$ s
Q313 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 5

A ball is projected horizontally from a height of 100 m from the ground with a speed of $20 \, ms^{-1}$ . Taking $g = 10 \, ms^{-2}$ and based on the information provided, answer the following questions. The horizontal distance it covers before striking the ground is
A.
$20\sqrt{5}$ m
B.
$40\sqrt{5}$ m
C.
$60\sqrt{5}$ m
D.
$80\sqrt{5}$ m
Q314 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 5

A ball is projected horizontally from a height of 100 m from the ground with a speed of $20 \, ms^{-1}$ . Taking $g = 10 \, ms^{-2}$ and based on the information provided, answer the following questions. The angle with the vertical which it strikes the ground is
A.
$\tan^{-1}\left(\frac{1}{\sqrt{3}}\right)$
B.
$\tan^{-1}\left(\frac{1}{\sqrt{2}}\right)$
C.
$\tan^{-1}\left(\frac{1}{\sqrt{5}}\right)$
D.
$\tan^{-1}\left(\frac{1}{\sqrt{7}}\right)$
Q315 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. Select the correct statement from the following
A.
The particle will follow a parabolic path to have a projectile motion with an initial velocity of $5 \, ms^{-1}$ and an acceleration of $3 \, ms^{-2}$ acting along -y axis
B.
The particle will follow a parabolic path to have a projectile motion with an initial velocity of $6 \, ms^{-1}$ and a constant acceleration of $5 \, ms^{-2}$ acting along -y axis
C.
The particle will follow a parabolic path to have a projectile motion with an initial horizontal velocity of $6 \, ms^{-1}$ and a constant acceleration of $10 \, ms^{-2}$ acting along -y axis
D.
None of the above statement seems to be correct
Q316 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The velocity, of the projectile, along x-axis after 0.2 second is
A.
$>6\ ms^{-1}$
B.
$<6\ ms^{-1}$
C.
$6\ ms^{-1}$
D.
zero
Q317 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The initial vertical velocity is
A.
$6 \, ms^{-1}$
B.
$7 \, ms^{-1}$
C.
$8 \, ms^{-1}$
D.
$10 \, ms^{-1}$
Q318 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The velocity of projection of the projectile is
A.
$6 \, ms^{-1}$
B.
$7 \, ms^{-1}$
C.
$8 \, ms^{-1}$
D.
$10 \, ms^{-1}$
Q319 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The time of ascent of the projectile is
A.
0.2 s
B.
0.4 s
C.
0.6 s
D.
0.8 s
Q320 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The maximum height attained by the projectile is
A.
0.8 m
B.
1.6 m
C.
2.9 m
D.
3.2 m
Q321 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 6

For a particle moving in the x-y plane the x, y coordinates as a function of time are given by x=6t and $y=8t-5t^{2}$ , where x and y are in metre and t is in second. Assume no air drag, answer the following questions. Based on the above facts, answer the following questions. The horizontal range of the projectile is
A.
3.2 m
B.
4.9 m
C.
8.7 m
D.
9.6 m
Q322 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 7

The maximum height attained by an oblique projectile is 8 m and the horizontal range is 24 m. Based on the above facts, answer the following questions. The vertical component of the velocity of projection is
A.
$\sqrt{g}$
B.
$2\sqrt{g}$
C.
$3\sqrt{g}$
D.
$4\sqrt{g}$
Q323 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 7

The maximum height attained by an oblique projectile is 8 m and the horizontal range is 24 m. Based on the above facts, answer the following questions. The horizontal component of the velocity of projection is
A.
$2\sqrt{g}$
B.
$3\sqrt{g}$
C.
$4\sqrt{g}$
D.
$5\sqrt{g}$
Q324 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 7

The maximum height attained by an oblique projectile is 8 m and the horizontal range is 24 m. Based on the above facts, answer the following questions. The velocity of projection is
A.
$2\sqrt{g}$
B.
$3\sqrt{g}$
C.
$4\sqrt{g}$
D.
$5\sqrt{g}$
Q325 Advance LINKED COMPREHENSION TYPE QUESTIONS MCQ

Comprehension Passage: Comprehension - 7

The maximum height attained by an oblique projectile is 8 m and the horizontal range is 24 m. Based on the above facts, answer the following questions. The angle of projection is
A.
$\cos^{-1}(0.8)$
B.
$\sin^{-1}(0.8)$
C.
$\tan^{-1}(0.6)$
D.
$\cot^{-1}(0.8)$