### 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

Name: ### Problem StatementA hockey player is standing on his skates on a f
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
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…

Science

Physics

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)...

See similar textbooks

Similar questions

The patient attends physiotherapy procedures at the clinic every day. Every morning he leaves the house at the same time and moves at a constant velocity 2,5 km/h. Once, leaving the house on time, the patient, on the 1/2 part of the way, remembered that he had forgotten the documents at home and decided to return home. How fast does the patient have to move in order to be in time for the beginning of the procedure? Please enter the correct units of measurement.
A football quarterback runs 19 m straight down the playing field in 2.1 s (in the positive direction). He is then hit and pushed 2.5 m straight backwards in 1.5 s. He breaks the tackle and runs straight forward another 24 m in 4.6 s.
An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s² as it goes through. The station in 210.0 m long. How fast is it going when the nose leaves the station?
A car is traveling along a straight road at a velocity of +39.5 m/s when its engine cuts out. For the next 2.81 seconds, the car slows down, and its average acceleration is a,. For the next 5.65 seconds, the car slows down further, and its average acceleration is ₂. The velocity of the car at the end of the 8.46-second period is +28.6 m/s. The ratio of the average acceleration values is ā,/₂ = 1.78. Find the velocity of the car at the end of the initial 2.81-second interval. 2
A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 2.0 m/s, skates by with the puck. After 2.00 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 0.44 m/S?, howlong does it take him to catch his opponent? (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 rocket, initially at rest on the ground, accelerates upward with a constant acceleration of 94.0 m/s2 until it reaches a speed of 1.50E2 m/s when the engines are cut off. After that, the rocket is in free-fall. What is the maximum height reached by the rocket?
A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 30.5 m/s. Just as the Ford passes it, the Toyota is traveling at 15.3 m/s. As soon as the Ford passes the Toyota, the Toyota begins to accelerate forward at a constant rate. Meanwhile the Ford just keeps going at a steady 30.5 m/s to the east. The Toyota catches up to the Ford a distance of 103.8 m ahead of where the Ford first passed it. What was the magnitude of the Toyota s acceleration? 4.5 m/s^2 1.7 m/s^2 8.9 m/s^2 3.4 m/s^2
A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway, What is the time interval needed to come to rest (in seconds)?
You have to drive on an expressway to apply for a job in another city, which is 367 km away. The interview was scheduled for 11:30 am. You plan to drive at 100 km / h and leave at 8 am to have some time to spare. You drive at the planned speed for the first 100 km, but then a stretch under construction forces you to slow down to 38 km / h for 37 km. What is the slowest speed you must maintain for the rest of the trip to arrive on time? Response to two decimal places and in km / h
A blue car travels down a straight road at a constant speed of 18.8 m/s. As they pass a red car, initially stopped on the side of the road, the red car speeds up at a rate of 1.77 m/s2. How much distance (in m) does the red car travel before it overtakes the blue car?
Joe decides to race his younger sister, Debbie, and gives her a 25 m head start. At the instant Joe starts running, his sister reaches a velocity of 12 m/s [W] while accelerating at 0.4 m/s2 [W]. If Joe accelerates at a rate of 1.2 m/s2 [W], how long does it take for him to catch up to his sister?
You are driving a car on a straight road at a speed of +25.0 m/s when you spot a desert tortoise walking across the road in front of you. You brake the car to a stop. The car slows down with a constant acceleration of −2.0 m/s2. How far does the car travel as it slows to a stop?