03. Equation of Motion
Motion in One Dimensions

141727 A balloon rises from rest with a constant acceleration of g/8. A stone is released from it when it has risen to a height h. The time taken by the stone to reach the ground is

1 4hg
2 2hg
3 2 h g
4 gh
Motion in One Dimensions

141729 The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t=2s is

1 0
2 5 m/s2
3 4 m/s2
4 8 m/s2
Motion in One Dimensions

141730 A body kept on a smooth inclined plane having inclination 1 in s will remain stationary relative to inclined plane if the body is given a horizontal acceleration equal to

1 gs21
2 gss21
3 gs21 s
4 gs21
Motion in One Dimensions

141731 A particle of mass m is at x=0 with velocity v= u in the x-direction at t=0, It is subjected to a friction force bv, where b is a positive constant.
The position of the particle at t is

1 mu/b
2 u/mb
3 2mu/b
4 mu/2 b
Motion in One Dimensions

141726 A metro train starts from rest and in 5 s achieves speed of 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

1 12.2 s
2 15.3 s
3 9 s
4 17.2 s
Motion in One Dimensions

141727 A balloon rises from rest with a constant acceleration of g/8. A stone is released from it when it has risen to a height h. The time taken by the stone to reach the ground is

1 4hg
2 2hg
3 2 h g
4 gh
Motion in One Dimensions

141729 The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t=2s is

1 0
2 5 m/s2
3 4 m/s2
4 8 m/s2
Motion in One Dimensions

141730 A body kept on a smooth inclined plane having inclination 1 in s will remain stationary relative to inclined plane if the body is given a horizontal acceleration equal to

1 gs21
2 gss21
3 gs21 s
4 gs21
Motion in One Dimensions

141731 A particle of mass m is at x=0 with velocity v= u in the x-direction at t=0, It is subjected to a friction force bv, where b is a positive constant.
The position of the particle at t is

1 mu/b
2 u/mb
3 2mu/b
4 mu/2 b
Motion in One Dimensions

141726 A metro train starts from rest and in 5 s achieves speed of 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

1 12.2 s
2 15.3 s
3 9 s
4 17.2 s
Motion in One Dimensions

141727 A balloon rises from rest with a constant acceleration of g/8. A stone is released from it when it has risen to a height h. The time taken by the stone to reach the ground is

1 4hg
2 2hg
3 2 h g
4 gh
Motion in One Dimensions

141729 The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t=2s is

1 0
2 5 m/s2
3 4 m/s2
4 8 m/s2
Motion in One Dimensions

141730 A body kept on a smooth inclined plane having inclination 1 in s will remain stationary relative to inclined plane if the body is given a horizontal acceleration equal to

1 gs21
2 gss21
3 gs21 s
4 gs21
Motion in One Dimensions

141731 A particle of mass m is at x=0 with velocity v= u in the x-direction at t=0, It is subjected to a friction force bv, where b is a positive constant.
The position of the particle at t is

1 mu/b
2 u/mb
3 2mu/b
4 mu/2 b
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Motion in One Dimensions

141726 A metro train starts from rest and in 5 s achieves speed of 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

1 12.2 s
2 15.3 s
3 9 s
4 17.2 s
Motion in One Dimensions

141727 A balloon rises from rest with a constant acceleration of g/8. A stone is released from it when it has risen to a height h. The time taken by the stone to reach the ground is

1 4hg
2 2hg
3 2 h g
4 gh
Motion in One Dimensions

141729 The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t=2s is

1 0
2 5 m/s2
3 4 m/s2
4 8 m/s2
Motion in One Dimensions

141730 A body kept on a smooth inclined plane having inclination 1 in s will remain stationary relative to inclined plane if the body is given a horizontal acceleration equal to

1 gs21
2 gss21
3 gs21 s
4 gs21
Motion in One Dimensions

141731 A particle of mass m is at x=0 with velocity v= u in the x-direction at t=0, It is subjected to a friction force bv, where b is a positive constant.
The position of the particle at t is

1 mu/b
2 u/mb
3 2mu/b
4 mu/2 b
Motion in One Dimensions

141726 A metro train starts from rest and in 5 s achieves speed of 108 km/h. After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.

1 12.2 s
2 15.3 s
3 9 s
4 17.2 s
Motion in One Dimensions

141727 A balloon rises from rest with a constant acceleration of g/8. A stone is released from it when it has risen to a height h. The time taken by the stone to reach the ground is

1 4hg
2 2hg
3 2 h g
4 gh
Motion in One Dimensions

141729 The x and y coordinates of the particle at any time are x=5t2t2 and y=10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t=2s is

1 0
2 5 m/s2
3 4 m/s2
4 8 m/s2
Motion in One Dimensions

141730 A body kept on a smooth inclined plane having inclination 1 in s will remain stationary relative to inclined plane if the body is given a horizontal acceleration equal to

1 gs21
2 gss21
3 gs21 s
4 gs21
Motion in One Dimensions

141731 A particle of mass m is at x=0 with velocity v= u in the x-direction at t=0, It is subjected to a friction force bv, where b is a positive constant.
The position of the particle at t is

1 mu/b
2 u/mb
3 2mu/b
4 mu/2 b