Question

A particle is moving along x-axis whose position is verying with time according to the relation $x=10t-t^2+1$ where $x$ is in metre and $t$ is in second. The displacement of particle for $t=1s$ to $t=3s$ is

• A. $+16m$
• B. $-16m$
• C. $+12m$
• D. $-12m$

Answer 1

The correct option is C $+12m$

$x=10t-t^2+1x\left(1\right)=10x\left(3\right)=22\Delta x=x\left(3\right)-x\left(1\right)=22-10=12$