Figure shows the speed versus time graph for a particle. Find the distance travelled by the particle during the time t=0 to t=3s.

Options

A. `9 m`
B. `5 m`
C. `2 m`
D. `1 m`

Answer

A

Explanation

The distance travelled by the particle in the time 0 to 3 s is equal to the area shaded in the ure.
This is a right angled triangle with height `=6m/s and the base =3s`. The area is `1/2` (base)(height)`= 1/2xx(3s)(6m/s)=9m`. Thus, particle covered a distance of 9 m during the time 0 to 3. .