Question

A cyclist sprints at the end of a race with an initial velocity of 11.5 m/s and accelerates at a rate of 0.500 m/s² for 7.00 s. What is her final velocity?

a) 14.0 m/s
b) 15.5 m/s
c) 17.0 m/s
d) 18.5 m/s

Answer 1

To find the cyclist's final velocity, the formula v_f = v_i + at is used, resulting in a final velocity of 15.0 m/s.

Step-by-step explanation:

The question is about determining the final velocity of a cyclist who is accelerating. Given that the initial velocity (v_i) is 11.5 m/s and the acceleration (a) is 0.500 m/s² over a time (t) of 7.00 s, we can use the formula for final velocity:

v_f = v_i + at

Substituting the given values:

v_f = 11.5 m/s + (0.500 m/s² * 7.00 s)

v_f = 11.5 m/s + 3.5 m/s

v_f = 15.0 m/s

Therefore, the cyclist's final velocity is 15.0 m/s, which corresponds to option (b).