A car accelerates from rest at a constant rate `\alpha` for sometime after which it decelerates at a constant rate `\beta` to come to rest. If the total time lapse is t seconds, evaluate:
(i) Maximum velocity reached and
(ii) The total distance travelled.

A car starting from rest, accelerates at a constant rate x for sometime after which it decelerates at a constant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the car is given by

A car travels from rest with a constant acceleration 'a' for 't' seconds. What is the average speed of the car for its journey if the car moves along a straight road?

A body starts from rest with constant acceleration. What is the ratio of the distance travelled by the body during the 4th and 3rd seconds ?

A train starts from rest and moves with a constant accelerationof 2.0 m/s^2 for half a minute. The brakes are then applied and the train comes to rest in one minute. Find a. the total distance moved by the train, b. the maximum speed attained by the train and c. the position(s) of the train at half the maximum speed.

A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then:

A constant power P is applied to a car starting from rest. If v is the velocity of the car at time t, then:

A scooter starting from rest moves wilth as constant acceleration for a time /_\t_1 , then with a constant velocity for the next /_\t_2 and finally with a constant deceleration for the next /_\t_3 to come to rest. A 500N man sitting on the scooter behind the driver manages to stay at rest with respect to the scooter without touching any other part. The force exerted by the seat on the man is

A car starts rest, on a horizontal circular road of radius R, the tangential acceleration of the car is a. The friction coefficient between the road and the tyre is mu Find the speed at which car will skid and also find the distance after travelling it skids.

A car is moving at a constant speed of 40 km/h along a straight road which heads towards a large vertical wall and makes a sharp 90^0 turn by the side of the wall. A fly flyingat constant speed of 100 km/h, starts from the wall towrds the car t an instant when the car is 20 km away,flies until it reaches the glasspane of the car and returns to teh wll at teh same speed. It continues to fly between the car and teh wall time the car makes the 90^0 turn. a. What is the total distance the fly has travelled during the period?b. How many trips has it made between the car and the wall?