Question

A particle starts from the origin at time t = 0 and moves along the positive x - axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s?

• A. 6 m
• B. 9 m
• C. 3 m
• D. 10 m

Answer 1

The correct option is B 9 m

Displacement in V-T curve is area under the curve.

Position at time t (=5 s) = Area under graph up to 5 second

$\frac{1}{2}\times 2\times 2+2\times 2+3\times 1=9m$