Answer:
The final speed of the sprinter would be approximately 7.61 m/s.
Step-by-step explanation:
We can use Newton's second law of motion and one of the equations of motion to solve for the final speed of the sprinter.
F = m * a
Where:
F = Force
m = Mass
a = Acceleration
We can rearrange this equation to solve for acceleration:
a = F / m
In this case, the force exerted by the sprinter is the net force because there is no other force acting on him/her horizontally. So we have:
a = 655 N / 64.5 kg ≈ 10.15 m/s^2
Next, we can use the one of the equations of motion to find the final speed of the sprinter. The equation we need is:
v_f = v_i + a * t
where:
v_f = the final speed
v_i = the initial speed (which is zero in this case)
a = the acceleration
t = the time interval
We can enter in the values we calculated:
v_f = 0 + (10.15 m/s^2) * (0.75 s) = 7.6125 m/s
Rounding to 2 decimal places, the final speed of the sprinter is approximately 7.61 m/s.