In a slap shot, a hockey player accelerates the puck from a...

In a slap shot, a hockey player accelerates the puck from a velocity of 8.00 m/s to 40.0 m/s in the same direction. If this shot takes $3.33 \times 10^{-2}$ s, calculate the distance over which the puck accelerates.

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Key Concepts

Average Velocity

Average velocity is the mean of the initial and final velocities during an interval of constant acceleration. It is calculated as (initial velocity + final velocity)/2. In scenarios of uniform acceleration, this concept is essential because it provides a straightforward way to compute the displacement when multiplied by the time interval over which the acceleration occurs.

Uniform Acceleration

This concept refers to motion in which the acceleration remains constant over time. When acceleration is uniform, kinematic equations can be directly applied to relate displacement, velocity, acceleration, and time. The problem simplifies to using standard formulas because the acceleration does not change during the motion.

Kinematic Equations

These are mathematical formulas that describe the motion of objects under constant acceleration. They allow the relationship between displacement, initial velocity, final velocity, acceleration, and time to be determined. For instance, one common formula is the displacement equation that relates the average of the initial and final velocities to the time interval, which is particularly useful in solving problems like the one presented.

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