An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an effort to beat their personal best time. The cyclist knows that if they can complete the final 100 metres of the race in 3.5 seconds or less, they will have accomplished this goal. The cyclists continues to speed up for the remainder of the race and observe their speedometer recording the following velocities, where time is measured in seconds from the moment they are 100 m from the finish line: velocity (m/s] 25 29 31 32 time 1 2 3 Did the cyclist beat their personal best time? Do your calculations in such a way that you can be sure of your final conclusion, and explain why you are sure. (Use overestimates or underestimates as needed.)

An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an effort to beat their personal best time. The cyclist knows that if they can complete the final 100 metres of the race in 3.5 seconds or less, they will have accomplished this goal. The cyclists continues to speed up for the remainder of the race and observe their speedometer recording the following velocities, where time is measured in seconds from the moment they are 100 m from the finish line: velocity (m/s] 25 29 31 32 time 1 2 3 Did the cyclist beat their personal best time? Do your calculations in such a way that you can be sure of your final conclusion, and explain why you are sure. (Use overestimates or underestimates as needed.)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2.73AP: Kathy tests her new sports car by racing with Sian, an experienced racer. Both start from rest, but...

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Kathy tests her new sports car by racing with Sian, an experienced racer. Both start from rest, but Kathy leaves the starting line 1.00 s after Stan does. Stan moves with a constant acceleration of 3.50 m/s2, while Kathy maintains an acceleration of 4.90 m/s2. Find (a) the time at which Kathy overtakes Stan, (b) the distance she travels before she catches him, and (c) the speeds of both cars at the instant Kathy overtakes Stan.
In 1967, New Zealander Burt Munro set the world record for an Indian motorcycle, on the Bonneville Salt Flats in Utah, with a maximum speed of 183.58 mi/h. The one-way course was 5.00 mi long. Acceleration rates are often described by the time it takes to reach 60.0 mi/h from rest. If this time was 4.00 s, and BL11t accelerated at this rate until he reached his maximum speed, how long did it take Burt to complete the course?
In World War II, there were several reported cases of airmen who jumped from their flaming airplanes with no parachute to escape certain death. Some fell about 20,000 feet (6000 m), and some of them survived, with few life-threatening injuries. For these lucky pilots, the tree branches and snow drifts on the ground allowed their deceleration to be relatively small. If we assume that a pilot's speed upon impact was 123 mph (54 m/s), then what was his deceleration? Assume that the trees and snow stopped him over a distance of 3.0 m.
1) In a marathon race (42.195 km), the winner's time is 2 hours, 18 minutes, and 35 seconds, while the second-place time is 2 hours, 24 minutes, and 49 seconds. Assuming the each runner ran the race at constant speeds, how far (in km) is the second-place finisher behind the first-place finisher as the first-place finisher crosses the finish line? 2) A runner competes in a 10000 m on a 400 m track and crosses the finish line after completing the race. What is the runner's displacement in meters?
(II) A runner hopes to complete the 10,000-m run in less than 30.0 min. After running at constant speed for exactly 27.0 min, there are still 1200 m to go. The runner must then accelerate at 0.20m/s2 for how many seconds in order to achieve the desired time?
A tortoise can run with a speed of 0.15 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (25 cm). How long does the race take? (sec) What is the length of the race?(m)
a motorist travelling with a constant velocity of 30m/s passes school- crossing comer, where the speed limit 20km/h. just as the motorist passes, a traffic officer on a motorcycle stopped at the comer starts off in pursuit with a constant acceleration of 2.0m/s^2. how much time elapsed (in seconds) before the officer catches up with the motorist.
1. According to the law of motion, the move of a particle is explained by s=f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t)=t3− 12tt + 36t where t is measured in seconds and s is measured in feet. a. When is the particle at rest? b. Find the displacement of the particle during the time period, 1 ≤ ? ≤ 4. Give an interpretation to the answer obtained.c. Find the total distance travelled during the first 8 seconds.
A 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 11.2 m/s in 2.14 s, what will be his total time?
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?
An accomplished physical therapist stays in shape for her job by running on a track. She passes one marker running at 1.0 m/s, and continues to accelerate at 0.5 m/s2 for another 3.1 seconds. How far from the first marker did she run in that time?
2. Wellington Wildcat is rushing to get to a parade in time to be the grand marshal. He’s standing in theback of a flatbed truck while McFogg the Dog races at 25 m/s towards town. Suddenly, McFogg sees atiny maple leaf in the road 55 m ahead, and, being a proud Canadian, slams on the brakes to protect thesacred totem. Since McFogg is known to ride the brakes like a real jerk, let’s assume his reaction time tohit the breaks is essentially zero.A. Can McFogg actually stop before the truck reaches the leaf? The coefficients of friction betweenrubber tires and dry concrete are: μs = 1.00, μk = 0.80. When answering this question, be sure toinclude a free-body diagram representing the truck and its stellar mascots as a single object.B. Now here’s the real serious question: Is it possible for McFogg to stop short of the leaf such thatWellington does not slip and slide into the back of the truck cab? The coefficients of friction forWellington’s shoes on the bed of the truck are: μs = 0.60, μk…