General
✓✗A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is
- h2 = 3h1 and h3 = 3h2
- h1 = h2 = h3
- h1 = 2h2 = 3h3
-
General
✓✗The position x of a particle with respect to time t along x-axis is given by x = 9t2 – t3 where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the +x direction?
- 54 m
- 81m
- 24 m
- 32 m
General
✓✗A body starts from rest, what is the ratio of the distance travelled by the body during the 4th and 3rd second ?
General
✓✗Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is
- 4/5
- 5/4
- 12/5
- 5/12
General
✓✗A bus travelling the first one-third distance at a speed of 10 km/h, the next one-third at 20 km/h and at last one-third at 60 km/h. The average speed of the bus is
- 9 km/h
- 16 km/h
- 18 km/h
- 48 km/h
General
✓✗A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s, then the maximum height attained by it (g = 10 m/s2)
- 8 m
- 20 m
- 10 m
- 16 m
General
✓✗A particle moving along x-axis has acceleration f, at time t, given by
, where f0 and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particles velocity (vx) is
-
f0T2
- f0T2
-
f0T
- f0T
General
✓✗A car covers the first half of the distance between two places at 40 km/h and another half at 60 km/h. The average speed of the car is
- 40 km/h
- 48 km/h
- 50 km/h
- 60 km/h
General
✓✗The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point


- E
- F
- C
- D
General
✓✗The motion of a particle along a straight line is described by equation x = 8 + 12t – t3 where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is
- 24 m s–2
- zero
- 6 m s–2
- 12 m s–2
General
✓✗A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is
- 10 m/s, 0
- 0, 0
- 0, 10 m/s
- 10 m/s, 10 m/s
General
✓✗A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = bx–2n, where b and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by
- –b2x–2n+1
- –2nb2e–4n+1
- –2nb2x–2n–1
- –2nb2x–4n–1
General
✓✗A rubber ball is dropped from a height of 5 m on a plane. On bouncing it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of
General
✓✗A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is
General
✓✗Which of the following curve does not represent motion in one dimension?



