A car accelerates from rest for time `t_1` at a constant rate `alpha` and then it retards at the constant rate `beta` for time `t_2` and comes to rest.Find the value of `t_1 // t_2`.

The unit of 1 s t order rate constant are

Radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0, there are N_0 nuclei of the element. Calculate the number of nuclei A at time t.

The linear momentum of a body varies with time as p= alpha + beta t^2 where alpha and beta are constants .The net force acting on the body is proportional to :

A car accelerates uniformly at the rate of 2ms^-2 after starting from rest. Find the distance travelled and velocity attained in 4 seconds.

Radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0, there are N_0 nuclei of the element. If alpha=2N_0lambda , calculate the number of nuclei of A after one half life of A and also limiting value of N as t rarr infty .

A body from rest accelerates at rate 10 m s^(-2) for 5 seconds and then moves with constant velocity for 10 seconds .Find the total distance travelled by it.

If a body travels for time 't' with speed v_1 and then it further travels for time 't' with speed v_2 find the average speed.

A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 ms ^(-2) for 8.0 s . How far does the boat travel during this time?

If the rate constant for a first order reaction is k, the time (t) required for completion of 99 % of the reaction is given by