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The speed-time graph for a car is shown in the figure. (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 represe.....

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The speed-time graph for a car is shown in the figure.

(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?

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The motion during first 4 seconds is not uniformly accelerated. So, distance travelled by car in first 4 seconds is calculated by graphical method.

(a) Number of squares in shaded part of the graph = 320.5 one small square in x axis represent t = 2/5 s

One small square on y axis represent v = \(\frac{2}{3}\) ms-1

∴ area of each square, v x t = \(\frac{2}{3}\)x \(\frac{2}{5}\) = \(\frac{4}{15}\) m

Total area = 61.5 x \(\frac{4}{15}\) = 16.4 m

(b) The limiting flat portion of the curve describes the constant speed of the car, i.e., a speed of 6.0 m s-1. At this stage, the acceleration of the car is zero.

Therefore, portion of the graph between t = 6 s to 10 s, describes the uniform motion of the car.

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