Question

Velocity of a particle depends upon time as $v=\beta t^2$. The distance travelled by the particle is time $t$ is

• A. $\beta t^3$
• B. ${\beta }^{2}t$
• C. $\beta t^2$
• D. $\beta t$

Answer 1

The correct option is A $\beta t^3$

Distance travelled is given by, $x=\int vdt$

Given $v=\beta t^2$

$x=\int \beta t^{2}dt$

$x=\frac{\beta t^3}{3}$

So, distance depends on time as $x=\beta t^3$