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

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)  (10/2)s  (B)  (10/4)s  (C)  (10/3)s  (D)  (10/5)s

Tardigrade Admin · Accepted Answer

Distance =(1/2) × 1 × 1+(1/2)(1.5+1) × 1+(1/2)(1 × 1) =(1/2)+(2.5/2)+(1/2) =(4.5/2)=2.25 m

Q. 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

$\frac{10}{2} s$

$\frac{10}{4} s$

$\frac{10}{3} s$

$\frac{10}{5} s$

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

Q. 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

210​s

410​s

310​s

510​s