A body starting from rest accelerates uniformly at the rate of `10cms^(-2)` and retaeds uniformly at the rate of `20cms^(-2)` . Find the least time in which it can complete the journey of 5km if the maximum velocity attained by the body is `72kmh^(-1)` .

A car accelerates uniformly at 4 m s^(-2) from rest. Find its velocity at the end of 5 seconds.

A body starting from rest acclerates uniformly along a st. line , at the rate of 10 ms^(-2) for 5 s . It moves for 2 s with uniform velocoty of 50 ms^(-1) . The it retards uniformly and comes to rest in 3 s . Draw velocity-time graph of the and find the total distance travelled by body.

A body starts from rest at time t = 0 , the acceleration time graph is shown in the figure . The maximum velocity attained by the body will be

A car starts from rest and accelerates uniformly to a speed of 180 kmh^(-1) in 10 s. The distance covered by the car in the time interval is

The radius of a circle is increasing uniformly at the rate of 3cm/s. Find the rate at which the area of the circle is increasing when the radius is 10cm.

Between two stations a train starting from rest first accelerates uniformly, then moves with constant velocity and finally retarts uniformly to come to rest. If the ratio of the time taken be 1 : 8 : 1 and the maximum speed attained be 60 km//h , then what is the average speed over the whole journey ?

A Bullet Train in Japan starting from rest accelerates uniformly at 0.5m s^(-2) for 2 minutes. It then maintains uniform speed for 20 minutes and then retards uniformly at the rate of 0.25 m s^(-1) and comes to rest. Calculate the average speed of the train