Applications of equations of motion
Trending Questions
Q. A bike racer starting from rest is riding with constant angular acceleration on a circular track. The ratio of angular displacement of the cyclist during 5th and 7th second is given by
- 7:9
- 4:5
- 9:13
- 8:10
Q. Starting from rest a particle is first accelerated for time t1 with constant acceleration a1 and then stops in time t2 with constant retardation a2. Let v1 be the average velocity in this case and s1 the total displacement.
In the second case, it is accelerated for the same time t1 with constant acceleration 2a1 and comes to rest with constant retardation a2 in time t3. If v2 is the average velocity in this case and s2 the total displacement, then:
In the second case, it is accelerated for the same time t1 with constant acceleration 2a1 and comes to rest with constant retardation a2 in time t3. If v2 is the average velocity in this case and s2 the total displacement, then:
- v2=2v1
- 2v1<v2<4v1
- s2=2s1
- 2s1<s2<4s1
Q. Two cars A and B are at rest and at the same point initially. If A starts with uniform velocity of 40 m/s and B starts in the same direction with constant acceleration of 4 m/s2 , then B will catch A after the time
- 10 s
- 20 s
- 30 s
- 35 s
Q. A body starts from rest and travels s m in 2nd second, then, acceleration is
- 3s2 m/s2
- 2s m/s2
- 2s3 m/s2
- 3s m/s2
Q. A particle, after starting from rest experiences constant acceleration for 20 seconds. If it covers a distance of S1 in first 10 seconds and distance S2 in next 10 seconds, then
- S2=S1/2
- S2=S1
- S2=2S1
- S2=3S1
Q. A particle is thrown upwards with speed v0. Find its speed when it reaches 2/3rd of the maximum height.
- v0√2
- 2v03
- v0√3
- v03
Q. You drop a ball from a window located on an upper floor of a building. It strikes the ground with a speed V. You now repeat the drop, but your friend down on the ground throws another ball upward at the same speed V, releasing his ball at the same moment at which you drop yours from the window. At some location, the balls pass each other. This location is:
- At the halfway point between window and ground
- Above halfway point
- Below halfway point
- Cannot be determined
Q. A person standing near the edge of the top of a building throws two balls A and B. The ball A is thrown vertically upwards and B is thrown vertically downward with the same speed. The ball A hits the ground with a speed vA and the ball B hits the ground with a speed vB. Then,
- vA>vB
- vA<vB
- vA=vB
- The relation between vA and vB depends on height of the building above the ground.
Q. A body starts from rest and moving with an acceleration 2 ms–2. The velocity of the body when it covers a distance of 10 m (in ms–1) is
- √98
- √40
- √20
- √12
Q. If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be
- 20 ms−2
- 10 ms−2
- 2 ms−2
- 1 ms−2