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Kinematics-2D

118 Questions Start Errorless Test
All Exams Allen Advance Errorless
Basic Level Q26 Errorless 2. Velocity MCQ
An aeroplane is moving with a horizontal velocity u at a height h above the ground. If a packet is dropped from it the speed of the packet when it reaches the ground will be
A.
$(u^{2} + 2gh)^{1/2}$
B.
$(2gh)^{1/2}$
C.
$(u^{2} - 2gh)^{1/2}$
D.
2gh
Advance Level Q27 Errorless 2. Velocity MCQ
A particle is projected with a speed V from a point O making an angle of $30^{\circ}$ with the vertical. At the same instant, a second particle is thrown vertically upwards from a point A. The two particles reach H, the highest point on the parabolic path of particle simultaneously. Then ratio $\frac{V}{v}$ is
A.
$3\sqrt{2}$
B.
$2\sqrt{3}$
C.
$\frac{2}{\sqrt{3}}$
D.
$\frac{\sqrt{3}}{2}$
Advance Level Q28 Errorless 2. Velocity MCQ
Two paper screens (A) and (B) are separated by a distance of 100 m. A bullet pierces (A) and (B) the hole in (B) is 10 cm below the hole is (A). If the bullet is travelling horizontally at the time of hitting (A). Then velocity of the bullet at (A) is
A.
100 m/sec
B.
200 m/sec
C.
600 m/sec
D.
700 m/sec
Advance Level Q29 Errorless 2. Velocity MCQ
A particle is thrown upward with a speed u at an angle $\theta$ with the horizontal. When the particle makes an angle $\phi$ with the horizontal, its speed changes to v, then
A.
$v = u \cos \theta \cos \phi$
B.
$v = u \cos \theta \sec \phi$
C.
$v = u \cos \theta$
D.
$v = u \sec \theta \cos \phi$
Advance Level Q30 Errorless 2. Velocity MCQ
Mr. Naveen kicked off a football with an initial speed 19.6 m/s at a projection angle $45^{\circ}$ . A receiver on the goal line 67.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his speed so that he could catch the ball before hitting the ground
A.
2.82 m/s
B.
$2/\sqrt{2}$ m/s
C.
39.2 m/s
D.
10 m/s
Advance Level Q31 Errorless 2. Velocity MCQ
Two balls of same mass are thrown horizontally from the top of a tower in the opposite direction with velocities 3 m/s and 4 m/s. The distance between the balls, when their velocities are mutually perpendicular will be nearest to
A.
10 m
B.
7 m
C.
5 m
D.
2.5 m
Advance Level Q32 Errorless 2. Velocity MCQ
A motorcyclist starts from the bottom of a slope of angle $45^{\circ}$ to cross the valley PR as shown in the figure. The width of the valley is 90 m and length of the slope is $80\sqrt{2}m$ . The minimum velocity at point O required to clear the valley will be
A.
70 m/s
B.
30 m/s
C.
50 m/s
D.
100 m/s
Advance Level Q33 Errorless 2. Velocity MCQ
From the top of a tower of height h a body of a mass m is projected in the horizontal direction with a velocity v. It falls on the ground at a distance x from the tower. If a body of mass 2 m is projected from the top of another tower of height 2 h in the horizontal direction so that it falls on the ground at a distance 2x from the tower, the horizontal velocity of the second body is
A.
2 v
B.
$\sqrt{2v}$
C.
$\frac{v}{2}$
D.
$\frac{v}{\sqrt{2}}$
Basic Level Q34 Errorless 3. Time of Flight MCQ
A cricket ball is thrown with a velocity of 15 m/s at an angle of $30^{\circ}$ with the horizontal. The time of flight of the ball will be $(g = 10 \, \text{m/s}^{2})$
A.
1.5 s
B.
2.5 s
C.
3.5 s
D.
4.5 s
Basic Level Q35 Errorless 3. Time of Flight MCQ
If $t_{1}$ be the time taken by a body to clear the top of a building and $t_{2}$ be the time spent in air, then $t_{2}:t_{1}$ will be
A.
1:2
B.
2:1
C.
1:1
D.
1:4
Basic Level Q36 Errorless 3. Time of Flight MCQ
A bomb is fired from a cannon with a velocity of 1000 m/s making an angle of $30^{\circ}$ with the horizontal. What is the time taken by the bomb to reach the highest point
A.
11 sec
B.
23 sec
C.
38 sec
D.
51 sec
Basic Level Q37 Errorless 3. Time of Flight MCQ
Two bullets are fired with horizontal velocities of 50 m/s and 100 m/s from two guns at a height of 19.6 m. Which bullet will strike first
A.
First
B.
Second
C.
Simultaneously
D.
None of these
Basic Level Q38 Errorless 3. Time of Flight MCQ
A hiker stands on the edge of a cliff 490 m above the ground and throws a stone horizontally with a speed of 15 $ms^{-1}$ . The time taken by the stone to reach the ground is
A.
10 s
B.
5 s
C.
12 s
D.
15 s
Basic Level Q39 Errorless 3. Time of Flight MCQ
Galileo's experiment showed that if two bodies of unequal masses are dropped from the same height, the time required by them to reach the ground are equal. But if they are thrown vertically upwards with the same initial velocity, the ratio of the time required to reach the ground is equal to
A.
The ratio of their masses
B.
The inverse of the ratio of their masses
C.
One
D.
The product of their masses
Advance Level Q40 Errorless 3. Time of Flight MCQ
A particle is projected with a speed $2\sqrt{gh}$ so that it clears two walls of equal height h which are at a distance 2h from each other. The time taken by the particle to pass between the two walls is
A.
$\sqrt{\frac{2h}{g}}$
B.
$\frac{2h}{g}$
C.
$\sqrt{2}\frac{h}{g}$
D.
$2\sqrt{\frac{h}{g}}$
Advance Level Q41 Errorless 3. Time of Flight MCQ
A projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of $147 \, ms^{-1}$ . Then the time after which its inclination with the horizontal is $45^{\circ}$ is
A.
$15 \, s$
B.
$10.98 \, s$
C.
$5.49 \, s$
D.
$2.745 \, s$
Advance Level Q42 Errorless 3. Time of Flight MCQ
A cannon ball is fired with a velocity v in a direction making an angle $\theta$ with the horizontal. At the highest point of its path it breaks into two parts of equal masses. One of the parts retraces the initial path of the ball. The speed of the second part immediately after explosion in m/s will be
A.
$\frac{3}{2}v\cos\theta$
B.
$\sqrt{\frac{3}{2}}v\cos\theta$
C.
$2v\cos\theta$
D.
$3v\cos\theta$
Advance Level Q43 Errorless 3. Time of Flight MCQ
From the top of a tower of height 40 m a ball is projected upwards with a speed of 20 m/s at an angle of elevation of $30^{\circ}$ . Then the ratio of the total time taken by the ball to hit the ground to its time of flight (time taken to come back to the same elevation) is (take $g = 10 ms^{2}$ )
A.
2:1
B.
3:1
C.
3:2
D.
4:1
Basic Level Q44 Errorless 4. Horizontal Range MCQ
A projectile fired with initial velocity u at some angle $\theta$ , has a range R. If the initial velocity be doubled at the same angle of projection, then the range will be
A.
2R
B.
R/2
C.
R
D.
4R
Basic Level Q45 Errorless 4. Horizontal Range MCQ
The range of a particle when launched at an angle of $15^{\circ}$ with the horizontal is $1.5 \, km$ . What is the range of the projectile when launched at an angle of $45^{\circ}$ to the horizontal
A.
$1.5 \, km$
B.
$3.0 \, km$
C.
$6.0 \, km$
D.
$0.75 \, km$
Basic Level Q46 Errorless 4. Horizontal Range MCQ
Three identical balls are thrown with same speed at angles of $15^{\circ}$ , $45^{\circ}$ and $75^{\circ}$ with the horizontal respectively. The ratio of their distances from the point of projection to the where they hit the ground will be
A.
$1:\sqrt{2}:1$
B.
$1:2:1$
C.
$2:4:3$
D.
$1:2:\sqrt{3}$
Basic Level Q47 Errorless 4. Horizontal Range MCQ
Five balls A, B, C, D and E are projected with the same speed making angles of $10^{\circ}$ , $30^{\circ}$ , $45^{\circ}$ , $60^{\circ}$ , $80^{\circ}$ respectively with the horizontal. Which ball will strike the ground at the farthest point
A.
B
B.
A
C.
E
D.
C
Basic Level Q48 Errorless 4. Horizontal Range MCQ
An object is thrown along a direction inclined at an angle of $45^{\circ}$ with the horizontal direction. The horizontal range of the particle is equal to
A.
Vertical height
B.
Twice the vertical height
C.
Thrice the vertical height
D.
Four times the vertical height
Basic Level Q49 Errorless 4. Horizontal Range MCQ
A projectile is thrown at an angle of $40^{\circ}$ with the horizontal and its range is $R_{1}$ . Another projectile is thrown at an angle $40^{\circ}$ with the vertical and its range is $R_{2}$ . What is the relation between $R_{1}$ and $R_{2}$
A.
$R_{1} = R_{2}$
B.
$R_{1} = 2R_{2}$
C.
$R_{2} = 2R_{1}$
D.
$R_{1} = 4R_{2}/5$
Basic Level Q50 Errorless 4. Horizontal Range MCQ
It was calculated that a shell when fired from a gun with a certain velocity and at an angle of elevation of $\frac{5\pi}{36}$ radians should strike a given target. In actual practice it was found that a hill just intervened in the trajectory. At what angle of elevation should the gun be fired to hit the target
A.
$\frac{5\pi}{36}$ rad
B.
$\frac{11\pi}{36}$ rad
C.
$\frac{7\pi}{36}$ rad
D.
$\frac{13\pi}{36}$ rad