Question

The velocity time graph shows the motion of a cyclist. Find the distance covered by the cyclist from zero to $15\text{seconds}$:

• A. $150\text{m}$
• B. $300\text{m}$
• C. $450\text{m}$
• D. $600\text{m}$

Answer 1

The correct option is B $300\text{m}$

The given velocity time graph for cyclist represents motion with constant velocity i.e uniform motion along a straight line.
$\Rightarrow \text{Distance covered}=\text{Displacement}$

Hence, distance covered by cyclist will be given by area under curve for $v-t$ graph for time interval $0\text{to}15\text{s}$:

$\Rightarrow \text{Distance covered= Area ABCD}$
$\therefore \text{Distance covered}=15\times 20=300\text{m}$