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Question

Question: The speed-time graph of a particle moving along a fixed direction as shown in the figure. The distan...

The speed-time graph of a particle moving along a fixed direction as 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

Answer

60 m

Explanation

Solution

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

\thereforeDistance traversed by the particle between

t = 0s to t = 10 s will be = Area of ΔOAB\Delta OAB

=12×10×12= \frac{1}{2} \times 10 \times 12 60 m