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Question
The speed of a car as a function of time is shown in the following figure. Find the distance travelled by the car in 8 seconds and its acceleration.
Solution
Slope of the v–t graph gives the acceleration.
Slope = \[\tan\left( \theta \right) = \frac{20}{8} = 2 . 5 \text{ m} / s^2\]
Area in the v–t graph gives the distance travelled.
Distance travelled = Area of ∆OAB
= \[\frac{1}{2} \times 20 \times 8 = 80 \text{ m} \]
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