Question

A hockey player is traveling at 4 m/s. He turns his skates sideways and uses friction to come to a full stop in 0.75 sec. Determine the deceleration of the player as he stops?

Answer 1

To calculate the hockey player's deceleration, we use the change in velocity (4 m/s to 0 m/s) over the time (0.75 s), which gives us a deceleration of -5.33 m/s². The negative sign indicates the player is slowing down.

Step-by-step explanation:

To determine the deceleration of the hockey player as he stops, we can use the formula for deceleration (a), which is a = Δv / t, where Δv is the change in velocity and t is the time taken to decelerate. The hockey player goes from an initial velocity (vi) of 4 m/s to a final velocity (vf) of 0 m/s in a time (t) of 0.75 seconds.

The change in velocity Δv is vf - vi = 0 m/s - 4 m/s = -4 m/s (the negative sign indicates a decrease in speed). Then, we plug the values into the formula to calculate deceleration: a = (-4 m/s) / 0.75 s = -5.33 m/s2.

The negative sign of the deceleration indicates the player is slowing down, which is anticipated since the player is coming to a stop due to the friction force.