The diagram below shows the speed-time graph of a car. The distance covered by the car is $1480$ m

Question

The diagram below shows the speed-time graph of a car.

The distance covered by the car is $1480$ m.

Speed-time graph showing speed in m/s against time in s. The speed increases from $0$ to $40$ in $14$ seconds, remains constant at $40$ until $34$ seconds, and then decreases to $0$.

Find the length of time it takes to cover the entire distance.
The car moved with a constant acceleration for the first $14$ seconds.

Find the acceleration.
On the diagram in the answer space below, sketch the acceleration-time graph of the car for the whole journey.

Acceleration-time graph template with Acceleration (m/s$^2$) on the y-axis and Time (s) on the x-axis, with vertical dashed lines at $14$ and $34$ seconds.

Accepted Answer

(a) $54$ s. (b) $20/7\text{ m/s}^2$. (c) $20/7,0,-2\text{ m/s}^2$ on the three successive intervals.

Kinematics - Interpreting and Sketching Motion Graphs

Kinematics - Interpreting and Sketching Motion Graphs

Solution:

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