Question

A particle moves along x- axis in such a way that its coordinate x (in meter) varies with time t (in second) according to relation x = $t^2$ +3 t + 5. The distance traveled by particle in time interval t=0 to t=3 s is :

• A. 23 m
• B. 22 m
• C. 24 m
• D. 18 m

Answer 1

The correct option is D 18 m

$x=t^2+3t+5$

$x(t=0)=0+0+5=5m$

$x(t=3)=3^2+3\times 3+5$

$=9+9+5=23m$

Distane traveled in time $t=0$ to $t=3s$

$\Delta x=23-5=18m$