Question

The speed-time graph of a particle moving along a solid curve is shown below. The distance traversed by the panicle from $t = 0$ to $r = 3$ is

• A. $ \frac{10}{2}s $
• B. $ \frac{10}{4}s $
• C. $ \frac{10}{3}s $
• D. $ \frac{10}{5}s $

Answer 1

Distance $=\frac{1}{2} \times 1 \times 1+\frac{1}{2}(1.5+1) \times 1+\frac{1}{2}(1 \times 1)$
$=\frac{1}{2}+\frac{2.5}{2}+\frac{1}{2}$
$=\frac{4.5}{2}=2.25\, m$