The graph given alongside shows how the speed of a car changes with time:
The graph given alongside shows how the speed of a car changes with time:
(i) What is the initial speed of the car?
(ii) What is the maximum speed attained by the car?
(iii) Which part of the graph shows zero acceleration?
(iv) Which part of the graph shows varying retardation?
(v) Find the distance travelled in first 8 hours.
(i) Initial speed of the car =10km/h
(ii) Maximum speed attained by the car = 35km/h
(iii) BC represents zero acceleration.
(iv) CD represents varying retardation.
(v) figure.png
Distance travelled in first 8 hrs:
s = Area of trapezium OABF + Area of rectangles BCEF
= \(\frac{1}{2}\) x (OA + BF) x OF + BF x FE
= \(\frac{1}{2}\) x (10 + 35) x 3 + (35 x 5)
= 67.5 + 175
= 242.5 km
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