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A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 5.0 m/s, skates by with the puck. After 1.90 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.37 m/s2, determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) (b) How far has he traveled in that time?

A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 5.0 m/s, skates by with the puck. After 1.90 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.37 m/s2, determine each of the following. (a) How long does it take him to catch his opponent? (Assume the player with the puck remains in motion at constant speed.) (b) How far has he traveled in that time?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Statement: A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of **5.0 m/s**, skates by with the puck. After **1.90 s**, the first player makes up his mind to chase his opponent. If he accelerates uniformly at **0.37 m/s²**, determine each of the following: #### (a) How long does it take him to catch his opponent? *(Assume the player with the puck remains in motion at a constant speed.)* #### (b) How far has he traveled in that time? This problem involves concepts from kinematics, including uniform motion and uniformly accelerated motion. Calculating the time and distance requires setting up equations based on the kinematic equations of motion. Let's break down the steps to solve it: 1. **Determine the distance the opponent has traveled when the first player starts moving.** 2. **Set up equations for the positions of both players as functions of time.** 3. **Solve for the time at which the positions of both players are equal.** 4. **Calculate the travel distance using the calculated time.** Use the kinematic equations: - For the opponent (moving at constant speed): \( d_{\text{opponent}} = v_{\text{opponent}} \cdot t \) - For the first player (starting from rest with constant acceleration): \( d_{\text{player}} = \frac{1}{2} a_{\text{player}} \cdot t^2 \) With these formulas, you can find the time \( t \) and distance \( d \) as requested in the problem.
Transcribed Image Text:### Problem Statement: A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of **5.0 m/s**, skates by with the puck. After **1.90 s**, the first player makes up his mind to chase his opponent. If he accelerates uniformly at **0.37 m/s²**, determine each of the following: #### (a) How long does it take him to catch his opponent? *(Assume the player with the puck remains in motion at a constant speed.)* #### (b) How far has he traveled in that time? This problem involves concepts from kinematics, including uniform motion and uniformly accelerated motion. Calculating the time and distance requires setting up equations based on the kinematic equations of motion. Let's break down the steps to solve it: 1. **Determine the distance the opponent has traveled when the first player starts moving.** 2. **Set up equations for the positions of both players as functions of time.** 3. **Solve for the time at which the positions of both players are equal.** 4. **Calculate the travel distance using the calculated time.** Use the kinematic equations: - For the opponent (moving at constant speed): \( d_{\text{opponent}} = v_{\text{opponent}} \cdot t \) - For the first player (starting from rest with constant acceleration): \( d_{\text{player}} = \frac{1}{2} a_{\text{player}} \cdot t^2 \) With these formulas, you can find the time \( t \) and distance \( d \) as requested in the problem.
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