Question

The corresponding displacement time graph will be ? The body starts from rest.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Given

Corresponding v - t graph

The body accelerates from O to B, a>0, then moves with constant velocity from B to C as a = 0 and then decelerates from C to D as a < 0.

$\therefore$ Corresponding s - t graph

Velocity is increasing from O to B. That means the slope of the s - t graph is increasing from O to B. $\therefore$ It is parabola curving upward.

From B to C, velocity is constant, that means slope of s - t graph is constant. $\therefore$ s - t graph is straight line from B to C. From C to D, velocity is decreasing $\therefore$ slope of s -t graph is decreasing and so it, will be a downward curving parabola from C to D.