Write an equation of motion to find the distance travelled when initial velocity, time, and acceleration are given.

The velocity of a car as a function of time is shown in Fig. Find the distance travelled by the car in 8 s and its acceleration.

The velocity of a car as a function of time is shown in Fig. Find the distance travelled by the car in 8 s and its acceleration.

State how the velocity-time graph can be used to find (i) the acceleration of a body, (ii) the distance travelled by the body in a given time, and (iii) the displacement of the body in a given time.

If reation between distance and time is s =a + bt + ct ^(2) find initial velocity and acceleration.

At the start of a motion along a line the initial velocity is u and acceleration is at. The final velocity vafter time t, is

Velocity-time graph for the motion of a certain body is shown in fig. Explain the nature of this motion. Find the initial velocity and acceleration and write the equation for the variation of displacement with time. What happens to the moving body at point B? how will the body more after this moment?

A particle is moving in sand under acceleration a=g-lambday^(2) , where lambda is a positive constant and y is the distance traveled on the y-axis. If the initial velocity is v_(0) and after traveling a distance y_(m) , the particle stops, find lambda (the motion is along the y-axis).

Write three equations of uniformly accelerated motion relating the initial velocity (u), final velocity (v), time (t), acceleration (a) and displacement (S).