A car, starting from rest, accelerates at the rate (f) through a distance (S), then continues at constant speed for some time (t) and then decelerates at the rate ` f//2` to come to rest. If the total distance is ` 5 S`, then prove that
` S=1/2/ ft^(2)`.

A car, starting from rest, accelerates at the rate f through a distance s, then continues at constant speed for time t and then decelerates at the rate f/ 2 to come to rest. If the total distance travelled is 15 s, then

A car,starting from rest, accelerates at the rate f through a distance s, then continuous at constant speed for time t and then decelerates at the rate f/2 come to rest. If the total distance traversed is 5 s,then :

A particle starts from rest accelerates at 2 m//s^2 for 10 s and then goes for constant speed for 30 s and then decelerates at 4 m//s^2 till it stops. What is the distance travelled by it.

A particle starts from rest, accelerates at 2(m)/(s^2) for 10 s and then goes for constant speed for 30 s and then decelerates at 4(m)/(s^2) . Till it stops. What is the distance travelled by it?

A bike starts from rest and accelerates at 4 m//s^(2) for 5.0 s. It then moves at contant velocity for 25.0s, and then decelerates at 2.0 m//s^(2) unit it stops. Find the total distance that the motorcycle has moved.

A car starting from rest is acceleration at constant rate until it attains a speed of 12 m/s. It moves with the constant speed 12 m/s for some time and then it is retarded at other constant rate until it comes to rest. Considering theta the car moves with constant speed for half of the time of total journey, what will be the average speed of the car for the whole journey (in m/s) ?

A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate beta to come to rest. If the total time elapsed is t, the maximum velocity acquired by the car is given by :

A particle accelerates from rest at a constant rate for some time and attains a velocity of 8 m/sec. Afterwards it decelerates with the constant rate and comes to rest. If the total time taken is 4 sec, the distance travelled is