Final answer:
The distance over which the puck accelerates is approximately 3.20 m.
Step-by-step explanation:
To find the distance over which the puck accelerates, we can use the equation:
vf = vi + at
Where:
vf = final velocity of the puck = 40.0 m/s
vi = initial velocity of the puck = 8.00 m/s
a = acceleration of the puck
t = time taken = 3.33 × 10-2 s
By rearranging the equation, we get:
d = (vf - vi) * t
Substituting the given values, we have:
d = (40.0 - 8.00) * 3.33 × 10-2
Solving the equation, we find that the distance over which the puck accelerates is approximately 3.20 m.