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

To find the final velocity of the racer, we can use the equation for accelerated motion:

Vf = Vi + at

Where:
Vf = final velocity
Vi = initial velocity
a = acceleration
t = time

Given that:
Vi = 11.5 m/s
a = 0.500 m/s^2
t = 7.00 s

Substituting the values into the equation, we have:

Vf = 11.5 m/s + (0.500 m/s^2)(7.00 s)

Vf = 11.5 m/s + 3.5 m/s

Vf = 15.0 m/s

Therefore, the racer's final velocity is 15.0 m/s.

To find the final velocity of the bicycle racer, we can use the equation:

vf = vi + at

Where:
vf = final velocity
vi = initial velocity
a = acceleration
t = time

Given:
vi = 11.5 m/s
a = 0.500 m/s^2
t = 7.00 s

Substituting the values into the equation:

vf = 11.5 m/s + (0.500 m/s^2)(7.00 s)

Simplifying the equation:

vf = 11.5 m/s + 3.50 m/s

Therefore, the final velocity of the bicycle racer is:

vf = 15.0 m/s