Question:
The speed of a car as a function of time is shown in the given figure. Find the distance travelled by the car in 8 seconds and its acceleration.
Solution:
Acceleration $=$ slope of $(v-t)$ graph
$a=\tan \theta=\frac{20}{8}$
$=2.5 \mathrm{~m} / \mathrm{s}^{2}$
Distance=Area under $(v-t)$ graph
$=\frac{1}{2} \times 8 \times 20$
$=80 \mathrm{~m}$
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