A cyclist starts from rest

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A cyclist starts from rest, quickly reaches 5 m s−15\,\text{m s}^{-1}, and then continues to accelerate uniformly along a straight road. The speed of the cycle increases from 5 m s−15\,\text{m s}^{-1} to 15 m s−115\,\text{m s}^{-1} while covering a distance of 100 m100\,\text{m}. (a) Calculate the magnitude of the uniform acceleration during this stage. (b) Find the time taken by the cycle to cover the 100 m100\,\text{m} distance.

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