How long does a cyclist accelerate if in the first 50 m after the start, he gained a speed of 18 km / h?

univerkov | March 8, 2021 | education

Initial data: S (distance traveled from the start) = 50 m; V (the speed that the cyclist gained) = 18 km / h (5 m / s); the cyclist picked up speed from the start and V0 = 0 m / s.

We express the cyclist’s acceleration time from the formula: S = V ^ 2 / 2a = V ^ 2 / (2 * (V / t)) = V * t / 2 or S = a * t ^ 2/2 = (V / t) * t ^ 2/2 = V * t / 2, whence t = 2S / V.

Calculation: t = 2 * 50/5 = 20 s.

Answer: The cyclist accelerated for 20 seconds.

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