A cyclist travelling at applies the brakes and comes to rest after moving with…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

A cyclist travelling at 18 km/h18\,\text{km/h} applies the brakes and comes to rest after moving 10 m10\,\text{m} with uniform retardation. Immediately afterwards, the cyclist starts pedalling again with a uniform acceleration of 0.8 m/s20.8\,\text{m/s}^2 for 6 s6\,\text{s}. (i) Convert the initial speed of the cyclist into SI units. (ii) Calculate the magnitude of the uniform retardation while the brakes are applied. (iii) Determine the speed of the cyclist at the end of the 6 s6\,\text{s} acceleration period. (iv) Find the total displacement of the cyclist from the instant the brakes are first applied until the end of the acceleration period.

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