The graph of velocity versus time for a particle going along the X-axis is depicted in the figure. Find the distance travelled in $0$ to $10 \text{ s}$ in meters.

Question

The graph of velocity versus time for a particle going along the X-axis is depicted in the figure. Find the distance travelled in 0 to 10 s in meters.

Quantrex Academy · Accepted Answer

Correct answer: D. 50

The distance travelled by the particle is given by the area under the velocity-time graph.

The region under the graph from

t = 0

to

t = 10\text{ s}

is a trapezium with parallel sides of lengths

2\text{ m/s}

and

8\text{ m/s}

, and a height of

10\text{ s}

.

Distance

= \text{Area of trapezium} = \dfrac{1}{2} \times (\text{sum of parallel sides}) \times \text{time interval}

Distance

= \dfrac{1}{2} \times (2 + 8) \times 10

Distance

= \dfrac{1}{2} \times 10 \times 10 = 50\text{ m}

The graph of velocity versus time for a particle going along the...

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