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The speed-time graph for a car is shown is Fig. 7.11 (a) Fi... - Science
The speed-time graph for a car is shown is Fig. 7.11
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?
(a) Distance travelled in the first 4 seconds:
The distance is given by the area under the speed-time graph.
Approximating the area as a triangle:
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}\text{Distance} = \frac{1}{2} \times 4 \text{ s} \times 6 \text{ m/s}\text{Distance} = \mathbf{12 \text{ m}}
(Note for shading: You need to shade the portion under the curve starting from
t=0 up to the vertical line at t=4.)
(b) Uniform motion:
The part of the graph that represents uniform motion is the straight horizontal line from t = 6 \text{ s} to t = 10 \text{ s}.