A truck travels at a constant speed of $20$ m/s for $10$ seconds. It then decelerates at a

Question

A truck travels at a constant speed of $20$ m/s for $10$ seconds. It then decelerates at a constant rate to rest in ten seconds. Find the acceleration of the truck during the last $10$ seconds, the total distance travelled by the truck in the $20$ seconds. On the axes below, draw the speed-time graph for the whole journey of the truck, the distance-time graph for the whole journey of the truck.

Accepted Answer

(a)(i) $-2\text{ m/s}^2$. (ii) $300\text{ m}$. (b)(i) $v=20$ for $0\le t\le10$, then decreasing uniformly to $0$ at $t=20$. (ii) Distance graph from $(0,0)$ through $(10,200)$ to $(20,300)$, with decreasing gradient after $t=10$.

Conversion of Speed-Time Graph to Distance-Time Graph

Conversion of Speed-Time Graph to Distance-Time Graph

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