The speed-time graph of a particle moving along a fixed direction is shown in the figure. The distance traversed by the particle between t = 0 s to t = 10 s is

Question

The speed-time graph of a particle moving along a fixed direction is shown in the figure. The distance traversed by the particle between t = 0 s to t = 10 s is (A) 20 m (B) 40 m (C) 60 m (D) 80 m

Tardigrade Admin · Accepted Answer

Distance = Area under speed-time graph over a given time interval. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2952218979445688ee50d96f48af4e46-.jpeg" /> ∴ Distance traversed by the particle between t = 0 s to t - 10 s will be = Area of Δ OAB=(1/2)×10×12 =60 m

Q. The speed-time graph of a particle moving along a fixed direction is shown in the figure. The distance traversed by the particle between $t = 0 s$ to $t = 10 s$ is

$20 m$

$40 m$

$60 m$

$80 m$

Distance $=$ Area under speed-time graph over a given time interval.

$∴$ Distance traversed by the particle between
$t = 0 s$ to $t - 10 s$ will be
$=$ Area of $Δ O A B = \frac{1}{2} \times 10 \times 12$
$= 60 m$

Q. The speed-time graph of a particle moving along a fixed direction is shown in the figure. The distance traversed by the particle between t=0s to t=10s is

20m

40m

60m

80m