A toy car is moving anticlockwise on a closed track whose curved portions are semicircles of radius 1 m . The adjacent graph describes the variation of speed of the car with distance moved by it (star

Question

A toy car is moving anticlockwise on a closed track whose curved portions are semicircles of radius 1 m . The adjacent graph describes the variation of speed of the car with distance moved by it (starting from point P ). The time, t required for the car to complete one lap is equal to K second. Find $K . ($ take $π ℓ n 2 \approx 2)$

TestHub · Accepted Answer

Total time taken on the circular track.

$t_{1} = 2 [\int_{0}^{π /2} \frac{d s}{( \frac{- 0.25 s}{π} + 0.25 )} + \int_{0}^{π /2} \frac{d s}{( \frac{0.25 s}{π} + 0.125 )}]$

Total time, $t = 2 \times (\frac{2}{0.25}) + t_{1}, t = 48$

Physics - Circular Motion Question with Solution | TestHub

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