Usain Bolt's holds the world record for fastest foot speed. Bolt's maximum velocity was clocked at 12.2m/s, covering a distance of 36m. If we assume a stationery start and constant acceleration how much time did it take him to cover this distance. Keep the final unit as s and do not write units in your final answer. Answer to 1 decimal place.

Question

Usain Bolt's holds the world record for fastest foot speed. Bolt's maximum velocity was clocked at 12.2m/s, covering a distance of 36m. If we assume a stationery start and constant acceleration how much time did it take him to cover this distance. Keep the final unit as s and do not write units in your final answer. Answer to 1 decimal place.

BlackTom AI · Accepted Answer

We’re told Usain Bolt starts from rest (initial velocity u = 0), finishes with a maximum velocity of v = 12.2 m/s, and covers a distance s = 36 m under constant acceleration.

For constant acceleration, the relations are: v = a t and s = (1/2) a t^2.

An efficient way to eliminate a and solve for time t is to use the kinematic trick s = v^2 / (2a). Rearranging gives a = v^2 / (2s).

Then use t = v / a to find the time: t = v / (v^2 / (2s)) = (v * 2s) / v^2 = 2s / v.

Plugging in s = 36 m and v = 12.2 m/s: t = 2 × 36 / 12.2 = 72 / 12.2 ≈ 5.90 s.

Rounding to one decimal place yields a value around 5.9. Note that this result assumes the motion starts from rest, accelerates uniformly to reach 12.2 m/s, and covers 36 m in the process; deviations from constant acceleration or a different initial speed would change the time.

Thus, evaluating the expression 2s/v with the given numbers gives the time.

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