Question

From rest, a bicyclist accelerates to a velocity of 12 m/s in the positive direction over 23.5 seconds. What is the acceleration of the bicyclist?

a. 0.51 m/s^2
b. 0.61 m/s^2
c. 0.71 m/s^2
d. 0.81 m/s^2

Answer 1

The acceleration of the bicyclist who accelerates from rest to a velocity of 12 m/s in 23.5 seconds is 0.51 m/s².

Step-by-step explanation:

To calculate the acceleration of the bicyclist, we will use the formula for acceleration, which is a = (v - u) / t, where v is the final velocity, u is the initial velocity, and t is the time taken to change from the initial velocity to the final velocity.

In this case, the bicyclist starts from rest, so the initial velocity, u, is 0 m/s. The final velocity, v, is 12 m/s, and the time, t, is 23.5 seconds.

Plugging these values into the formula, we get:

a = (12 m/s - 0 m/s) / 23.5 s = 12 m/s / 23.5 s = 0.51 m/s².

Therefore, the acceleration of the bicyclist is 0.51 m/s².