Motion Test - 4...

A body moving with a constant acceleration travels the distances 3 m and 8 m respectively in 1 s and 2 s. Calculate the initial velocity.

Figure shows the displacement-time graph for the motion of two boys A and B along a straight road in the same direction. Which of the two has greater velocity?

A car travels with a uniform velocity of $$25\, m\, s^{-1}$$ for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s. Find the acceleration.

A train starts from rest and accelerates uniformly at a rate of  $$2\ ms^{-2}$$ for 10 s. It then maintains a constant speed for 200 s. The brakes are then applied and the train is uniformly retarded and comes to rest in 50 s. Find the maximum velocity reached.

A car travels a distance 100 m with a constant acceleration and average velocity of $$20\, ms^{-1}$$. The final velocity acquired by the car is $$25\, ms^{-1}$$. Find the acceleration of the car.

When brakes are applied to a bus, the retardation produced is $$25\ \ cm\ s^{-2}$$ and the bus takes 20 s to stop. Calculate the initial velocity of the bus.

A ball is thrown vertically upwards with a velocity of $${49 ms^{-1}}$$. Calculate the maximum height to which it rises.

Figure below shows the distance-time graph of three objects $$A, B$$ and $$C$$. Study the graph and answer the following questions: which of the three is travelling the fastest?

When a ball is thrown up vertically with velocity $$ {v}_{o} $$ it reaches a maximum height of $$h$$. If one wishes to triple the maximum height then the ball should be thrown with velocity.

A stone is thrown in vertically upward direction with a velocity of $$5\ ms^{-1}$$. If the acceleration of the stone during its motion is $$10\ ms^{-2}$$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?