1.
The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?
2.
The displacement of the particle varies with time according to the relation Then the velocity of the particle is
3.
A student is standing at a distance of from the bus. As soon as the bus begins its motion with an acceleration of , the student starts running towards the bus with a uniform velocity . Assuming the motion to be along a straight road, the minimum value of , so that the student is able to catch the bus is
4.
A stone falls from a balloon that is descending at a uniform rate of . The displacement of the stone from the point of release after 10s is
5.
An elevator car, whose floor to ceiling distance is equal to 2.7 starts ascending with constant acceleration of 2 after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is
6.
A body thrown vertically upwards with an initial velocity reaches maximum height in 6 seconds. The ratio of the distances travelled by the body in the first second and the seventh second is
7.
A body falls from rest, its velocity at the end of first second is
8.
A police car is travelling in a straight line with a constant speed A truck travelling in the same direction with constant velocity 3v/2 passes, the police car at The police car starts acceleration 10 s after passing the truck, at a constant rate of while truck continues to move at constant speed. If he police car takes 10 s further to catch the truck, find the value of
9.
The displacement of a particle is given by . The initial velocity and acceleration are respectively
10.
The position of a particle (in metres) at a time seconds is given by the relation . Calculate the magnitude of velocity of the particle after 5 seconds