Question

The position ${}^{\prime }{x}^{\prime }$ of a particle moving in straight line depends on time as $x=4t-t^2$, where $x$ is in meters and $t$ is in seconds. Find the distance travelled by the particle in first $3$ seconds.

• A. $3m$
• B. $5m$
• C. $4m$
• D. $6m$

Answer 1

The correct option is A $3m$

Given that the relationship between distance and time as

$x=4t-t^2$

For first 3 seconds distnace will be

$x=4\left(3\right)-(3{)}^2$

$x=12-9$

$x=3m$