### Problem StatementA hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 14.3 m/s, skates by with the puck. After 2.0 seconds, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.6 m/s², how long does it take him to catch his opponent?#### Instructions:Round your answer to 1 decimal place.### Explanation:In this problem, we need to determine the time it takes for a hockey player, starting from rest and with a uniform acceleration, to catch up with another player moving at a constant speed.1. **Identify Known Variables:** - Speed of opposing player (v₁): 14.3 m/s - Time before chase starts (t₀): 2.0 s - Acceleration of first player (a): 4.6 m/s²2. **Calculate Distance Covered by Opposing Player During Initial Time:** - Distance traveled by the opposing player in t₀ seconds = speed × time = 14.3 m/s × 2.0 s = 28.6 meters3. **Setup Equations for Positions:** - Distance covered by opposing player after t seconds (d₁): d₁ = 14.3 m/s × (t + 2.0 s) - Distance covered by first player after t seconds (d₂): d₂ = 0.5 × 4.6 m/s² × t² 4. **Determine the Time to Catch Up:** - Set d₁ equal to d₂ and solve for t - 14.3(t + 2.0) = 0.5 × 4.6 × t² - Simplify and solve the quadratic equation to find t.5. **Round to 1 Decimal Place:**### Questions to Consider:- How do changes in initial velocities affect the time to catch up?- What roles do acceleration and time delay play in this scenario?### Applications:This problem highlights key physics concepts such as uniform motion, uniform acceleration, and quadratic equations, useful in various fields including sports physics, automotive design, and any context where predictive modeling of moving objects is relevant.### Diagram (if applicable):No diagrams are included in the provided prompt. To better

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Description: ### Problem StatementA hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 14.3 m/s, skates by with the puck. After 2.0 seconds, the first player makes up his mind to chase his opponent. I

given : speed of second player, v = 14.3 m/s initial speed of first player, u = 0…

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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 14.3 m/s, skates by with the puck. After 2.2 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.6 m/s2, how long does it take him to catch his opponent?

A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 14.3 m/s, skates by with the puck. After 2.2 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.6 m/s2, how long does it take him to catch his opponent?

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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