Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

The diagram depicts the speed-time graph of a car that reduces its speed from $30\text{ m s}^{-1}$ to $12\text{ m s}^{-1}$ over $20$ seconds, and then continues at $12\text{ m s}^{-1}$.
(a)[1]

Find the retardation at $t=10$.

(b)[2]

Find the distance covered by the car from $t=0$ to $t=20$.

(c)[2]

The distance covered by the car from $t=20$ to $t=k$ is $60\text{ m}$. Find the value of $k$.

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