Question

A car starts from rest and accelerates uniformly to a speed of $180km{h}^{-1}$ in $10$ sec. The distance covered by the car in the time interval is :

• A. $200m$
• B. $300m$
• C. $500m$
• D. $250m$

Answer 1

Answer: (D)

$250m$

$u=0$,

$v=180$

$180km/h=50m/s$

Time taken, $t=10s$

$a=\frac{v-u}{t}=\frac{60}{10}=6m{s}^{-2}$

Distance covered

$s=ut+\frac{1}{2}a{t}^2$

$=0+\frac{1}{2}\times 5\times (10{)}^2$

$=\frac{500}{2}\Rightarrow =250m$