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 does the body move after this moment ?

Explanation

The velocity-time graph is a straight line with-ve slope ,the motion is uniformly retarding one upto point B and uniformly acccelerated after with -ve side of velocity axis.)
The initial velocity at point A is `v_(0)=7 ms^(-1)`
The acceleration a =`(Deltav)/(Deltat)=(v_(t)-v_(0))/(Deltat)=(0-7ms^(-1))/(11s)=(-7)/(11)ms^(-2)`
The equation of motion for this body for variation of displacement with time is
`S=7t-(1)/(2)0.64t^(2)=7t-0.32t^(2)`
If B the body of instantaneous test and then reverse direction.