How long does it take for a cyclist to travel 20 m at an acceleration of 0.4 m / s from the start of the movement?

The distance traveled by a cyclist can be given by the formula:

S = V0 * t + 0.5a * t ^ 2.

We will assume that the cyclist started the movement from a place (V0 = 0 m / s) and the formula will take the form:

S = 0.5a * t ^ 2, where S is the path traveled by the cyclist (according to the condition S = 20 m), a is the acceleration with which the cyclist moved (according to the condition a = 0.4 m / s2).

t ^ 2 = 2S / a and t = √ (2S / a).

Let’s do the calculation:

t = √ (2 * 20 / 0.4) = t = √ (40 / 0.4) = t = √100 = 10 s.

Answer: A cyclist covers 20 meters in 10 seconds.