The Displacement-time graph of a particle moving in a straight line is as shown in the figure. State whether the motion is accelerated or not. Given s0=−20 mandt0=4 second
Slope of displacement- time graph gives us the velocity of the particle.
In the given case, slope of displacement-time graph is constant. Hence, velocity of particle is constant.
We know that acceleration is defined as ratio of change in velocity to the time interval.
a=change in velocitytimeinterval
Since, here there is no change in the velocity, hence, acceleration is 0.
Hence, the motion is not accelerated.