A runner starts from rest and with an acceleration of 1.0 m/s² travels a distance of 10 meters. The time it takes the runner to cover the distance is A) 6.3 s. B) 5.7 s. C) 5.0 s. D) 4.5 s. E) 3.8 s.

Question

Quizplus · Accepted Answer

Using the equation of motion s = ut + 1/2 at^2, where s is the distance, u is the initial velocity (which is 0 m/s), a is the acceleration, and t is the time:

s = ut + 1/2 at^2
10 = 0 + 1/2 (1.0) t^2
20 = t^2
t = 4.5 seconds

Therefore, the time it takes the runner to cover 10 meters is 4.5 seconds. Option D is the correct answer.

A Runner Starts from Rest and with an Acceleration of 1.0