Final answer:
To calculate the distance over which the puck accelerates in a slap shot, use the formula d = (v_f^2 - v_i^2) / (2a), where d is the distance, v_f is the final velocity, v_i is the initial velocity, and a is the acceleration. By substituting the given values into the formula, the distance can be calculated.
Step-by-step explanation:
To calculate the distance over which the puck accelerates in a slap shot, we can use the formula:
d = (vf2 - vi2) / (2a)
where d is the distance, vf is the final velocity, vi is the initial velocity, and a is the acceleration.
Given that vi = 8.00 m/s, vf = 40.0 m/s, and the time taken is 3.33 × 10-2 s, we can calculate the acceleration using the formula:
a = (vf - vi) / t
Substituting the values into the formula, we get:
a = (40.0 - 8.00) / (3.33 × 10-2)
Finally, substituting the values of a, vf, and vi into the formula for distance, we can calculate the distance over which the puck accelerates.