The displacement of a particle starting from rest (at t = 0) is given by . The time in seconds at which the particle will attain zero velocity again, is
(1) 2
(2) 4
(3) 6
(4) 8
Consider the acceleration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process ?
1. Velocity only
2. Displacement and velocity
3. Acceleration, velocity and displacement
4. Displacement and acceleration
The engine of a motorcycle can produce a maximum acceleration 5 m/s2. Its brakes can produce a maximum retardation 10 m/s2. What is the minimum time in which it can cover a distance of 1.5 km?
(1) 30 sec
(2) 15 sec
(3) 10 sec
(4) 5 sec
A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1ms–2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is
1. 5 ms–1
2. 8 ms–1
3. 10 ms–1
4. 12 ms–1
A body A moves with a uniform acceleration a and zero initial velocity. Another body B, starts from the same point moves in the same direction with a constant velocity v. The two bodies meet after a time t. The value of t is
1.
2.
3.
4.
A particle moves along X-axis in such a way that its coordinate X varies with time t according to the equation . The initial velocity of the particle is
(1) –5 m/s
(2) 6 m/s
(3) –3 m/s
(4) 3 m/s
A man is 45 m behind the bus when the bus starts accelerating from rest with acceleration of 2.5 m/s2. With what minimum velocity should the man start running to catch the bus?
1. 12 m/s
2. 14 m/s
3. 15 m/s
4. 16 m/s
A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is
(1) 2100 m/sec2 downwards
(2) 2100 m/sec2 upwards
(3) 1400 m/sec2
(4) 700 m/sec2
A ball of mass m1 and another ball of mass m2 are dropped from equal height. If time taken by the balls are t1 and t2 respectively, then
1.
2.
3.
4.
Velocity of a body on reaching the point from which it was projected upwards, is
1.
2.
3.
4.