A cyclist accelerates at a rate of 7.0 M/S squared how long will it take for the cyclist to reach a speed of 18 M/S?

1 answer

To find the time it will take for the cyclist to reach a speed of 18 m/s, we can use the formula:

vf = vi + at

where:
vf = final velocity (18 m/s)
vi = initial velocity (0 m/s, assuming the cyclist starts from rest)
a = acceleration (7.0 m/s^2, given)
t = time

Rearranging the formula, we have:

t = (vf - vi) / a

Substituting the given values:

t = (18 m/s - 0 m/s) / 7.0 m/s^2

t = 18 m/s / 7.0 m/s^2

t ≈ 2.57 seconds

Therefore, it will take approximately 2.57 seconds for the cyclist to reach a speed of 18 m/s.