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.....
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?
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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