1.
A body of mass moving along a straight line covers half the distance with a speed of The remaining half of distance is covered in two equal time intervals with a speed of respectively. The average speed of the particle for the entire journey is
2.
Equation of displacement for any particle is . Its acceleration at time is
3.
A person travels along a straight road for the first half time with a velocity and the next half time with a
velocity
The mean velocity V of the man is
4.
The acceleration of a particle starting from rest varies with time according to relation The velocity of the particle after a time will be
5.
A man runs at a speed of to overtake a standing bus. When he is 6 m behind the door at , the bus moves forward and continues with a constant acceleration of . The man reaches the door in time . Then,
6.
The graph of displacement  time is

Its corresponding velocity-time graph will be
7.
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane long (angle of inclination is ) is
8.
A car travels half the distance with constant velocity of and the remaining half with a constant velocity of . The average velocity of the car in is
9.
From a balloon rising vertically upwards at a stone is thrown up at relative to the balloon. Its velocity with respect to ground after is (assume )
10.
If a body starts from rest and travels in the 6th second, then what is the acceleration