Question

The plot of velocity vs time of a moving particle is given above.
How do the acceleration and displacement of the particle at point $B$ compare to the acceleration and displacement of the particle at point $A$?

• A. Acceleration is less, displacement is less
• B. Acceleration is less, displacement is the same
• C. Acceleration is less, displacement is greater
• D. Acceleration is greater, displacement is less
• E. Acceleration is greater, displacement is greater

Answer 1

Answer: (C)

Acceleration is less, displacement is greater

Acceleration $dv/dt$ in a $v-t$ graph is given by the slope of graph , it is clear from graph that slope at point $B$ is lesser than at point $A$,therefore acceleration is less at $B$ ,as compared to point $A$.

the displacement in a $v-t$ graph is given by , area under the curve , we can see from graph that area under point $B$ is much greater than area under $A$ , so the displacement is greater at $B$.