Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 2, Problem 8P
To determine
The velocity of the car after
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Hi, I am doing problem number 2 from the end of the chapter questions in my textbook. The problem reads as such:
"An 18-year-old runner can complete a 10.0-km course with an average speed of 4.39 m/s. A 50-year-old runner can cover the same distance with an average speed of 4.27 m/s. How much later (in seconds) should the younger runner start in order to finish the course at the same time as the older runner?"
I am looking at the solution for the problem and I did everything right except the last step. The solution says to subtract the time found for the 18 year old to run 10km from the time found for the 50 year old to run 10km. However, I divided the anwers I found. Why are we subtracting the answers from one another and not dividing them? Thank you!
A car is traveling at a speed of 30 m/s, a typical highway speed, on wet pavement. The driver sees an obstacle ahead and decides to stop. From this instant, it takes him 0.75 s to begin applying the brakes. Once the brakes are applied, the car experiences an acceleration of -6.0 m/s2. How far does the car travel from the instant the driver notices the obstacle until it stops?
A sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.78m/s2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is fifty meters long. If the total race is run in 8.38 s, how far does he run during the acceleration phase?
Chapter 2 Solutions
Physics Fundamentals
Ch. 2 - Prob. 1QCh. 2 - Prob. 2QCh. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5QCh. 2 - Prob. 6QCh. 2 - Prob. 7QCh. 2 - Prob. 8QCh. 2 - Prob. 9QCh. 2 - Prob. 1P
Ch. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - Prob. 21PCh. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - Prob. 31PCh. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - Prob. 36PCh. 2 - Prob. 37PCh. 2 - Prob. 38PCh. 2 - Prob. 39PCh. 2 - Prob. 40PCh. 2 - Prob. 41PCh. 2 - Prob. 42PCh. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Prob. 45PCh. 2 - Prob. 46PCh. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Prob. 50PCh. 2 - Prob. 51PCh. 2 - Prob. 52PCh. 2 - Prob. 53PCh. 2 - Prob. 54PCh. 2 - Prob. 55P
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- A subway train starts from rest and accelerates at a rate of 1.60 m/s2 for 14.0 s. It runs at constant speed for 70.0 s and slows down at a rate of 3.50 m/s2 until it stops at the next station. What is the total distance covered?arrow_forwardA black mamba snake has a length of 2.67 m and a top speed of 3.80 m/s. Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates at 4.73 m/s2 from rest. How much time does it take the snake to reach its top speed and how far does the snake travel in that time?arrow_forwardSarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?arrow_forward
- A certain test car can go from rest to 32.0 m/s in 3.88 s. The same car can come to a full stop from that speed in 4.14 s. What is the ratio of the magnitude of the starting acceleration to the stopping acceleration?arrow_forwardtortoise crawls the entire 1000.0 meters at a speed of 0.20 m/s. The rabbit runs the first 200.0 meters at 2.0 m/s, stops to take a nap for 1.3 hours, and awakens to finish the last 800.0 meters with an average speed of 3.0 m/s. Who wins the race and by how much time? Get to destination at the same time. Rabbit wins by 47 s Tortoise wing by 47 s O rabbit wins by 2.02 hrs Tortoise wins by2.02 hoursarrow_forwardA boy stands daydreaming as his friend runs by at the constant speed of 3.68 m/s. After 1.39 s, the boy decides to chase his friend and accelerates uniformly at 2.44 m/s². Assuming motion along a straight line, how far x does the boy travel before he catches his friend?arrow_forward
- Car A is moving with a constant velocity 6.02 m/s while Car B starts from rest and accelerates with a constant acceleration 2.16 m/s2. They both start at the same position. How long in seconds before Car B overtake Car A?arrow_forwardA policeman is sitting on the side of the road in his cruiser when he notices a car coming up behind him. The car has a constant speed of 20 m/s. The police cruiser accelerates from rest with an acceleration of 4 m/s2 when the speeder is 20 meters behind the cruiser. how long after the police cruiser starts to accelerate does the speeder pass it?arrow_forwardOne simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.5 m/s in 2.24 s , what will be his total time? Express your answer in seconds.arrow_forward
- A car starts from rest and reaches a velocity of 18.0 m/s in 12.0 seconds. The car then continues traveling at a constant velocity for 20.0 seconds. At the end of the 20.0 seconds, the car uniformly decelerates at .600 m/s2 and finally comes to rest. How far did the car travel from start to finish ?arrow_forwardA sprinter accelerates from rest to a top speed with an acceleration whose magnitude is 3.76 m/s 2. After achieving top speed, he runs the remainder of the race without speeding up or slowing down. The total race is fifty meters long. If the total race is run in 8.20 s, how far does he run during the acceleration phase? Number Unitsarrow_forwardA Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2 m/s² for 6.5 s, after which the gazelle continues at a steady speed. What is the gazelle's top speed?arrow_forward
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Position/Velocity/Acceleration Part 1: Definitions; Author: Professor Dave explains;https://www.youtube.com/watch?v=4dCrkp8qgLU;License: Standard YouTube License, CC-BY