Question

If the speed of a car is given as $v=2t+5\text{m/s}$, total distance covered by the car in $5sec$ is

• A. $30\text{m}$
• B. $40\text{m}$
• C. $50\text{m}$
• D. $25\text{m}$

Answer 1

The correct option is C $50\text{m}$

Given, the speed of the car is $v\left(t\right)=2t+5$
and, distance $S={\int }_0^{t}v\left(t\right)dt$
$\Rightarrow S={\int }_0^5(2t+5)dt=[t^2+5t{]}_0^5$
$\Rightarrow S=(5^2+5\times 5)-\left(0\right)=50\text{m}$