Question

A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 11.5 m/s and accelerates at the rate of 0.500 m/s^2 for 7.00 s.What is his final velocity?

a) 15.5 m/s
b) 14.0 m/s
c) 18.5 m/s
d) 13.0 m/s

Answer 1

The final velocity of the bicycle racer after accelerating at a rate of 0.500 m/s^2 for 7.00 seconds from an initial velocity of 11.5 m/s is 15.0 m/s, which corresponds to option (a) 15.5 m/s.

Step-by-step explanation:

The bicycle racer has an initial velocity of 11.5 m/s and is accelerating at a rate of 0.500 m/s2 for 7.00 seconds. To find the final velocity, we can use the kinematic equation which relates initial velocity, acceleration, and time.

The equation is:
final velocity (v) = initial velocity (u) + (acceleration (a) * time (t))

Substituting the given values:
final velocity = 11.5 m/s + (0.500 m/s2 * 7.00 s)
final velocity = 11.5 m/s + 3.5 m/s
final velocity = 15.0 m/s

Therefore, the correct option is (a) 15.5 m/s.