While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity.a. If she maintains her speed, how much time will it take her to run the next 400 m?b. How long will it take her to run a mile at this speed?

While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity.a. If she maintains her speed, how much time will it take her to run the next 400 m?b. How long will it take her to run a mile at this speed?

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Description: While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity.a. If she maintains

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 28P: A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km....

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While running a marathon, a long-distance runner uses a stopwatch to time herself over a distance of 100 m. She finds that she runs this distance in 18 s. Answer the following by considering ratios, without computing her velocity. a. If she maintains her speed, how much time will it take her to run the next 400 m?
The Grand Canyon is 6000 feet deep at the deepest part. A rock is dropped from this height. (The acceleration due to gravity is -32 feet/sec2.) a. Express the height of the rock as a function of the time (in seconds). b. How long will it take the rock to hit the canyon floor? c. With what velocity does the rock hit the canyon floor? With what acceleration?
Ilya and Anya each can run at a speed of 8.00 mphmph and walk at a speed of 3.10 mphmph . They set off together on a route of length 5.00 milesmiles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. A.) How long does it take Anya to cover the distance of 5.00 milesmiles ? Express your answer numerically, in minutes. B.) Find Anya's average speed. Express Anya's average speed save,Anyasave,Anya numerically, in miles per hour. C.) How long does it take Ilya to cover the distance? Express the time tIlyatIlya taken by Ilya numerically, in minutes. D.) Now find Ilya's average speed. Express Ilya's average speed save,Ilyasave,Ilya numerically, in miles per hour.
1. Leslie’s cat walks 4 meters east, 3 meters south, 2 meters west, and 9 meters north. What is the cat’s distance and displacement at the end of this walk? 2. Yesenia is driving her car north. In a period of 12.0 minutes, she covers a distance of 17.6 km. What is Yesenia’s average velocity in meters per second?
A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high. A.)How much later does it reach the bottom of the cliff? Express your answer to three significant figures and include the appropriate units. B.)What is its speed just before hitting? Express your answer to three significant figures and include the appropriate units. C.)What total distance did it travel? Express your answer to three significant figures and include the appropriate units.
The first astronaut has landed on Mars. Conducting some physics experiments, she drops a hammer from rest from a height of 2.01 m and uses a stopwatch to measure that the hammer takes 1.04 s to hit the ground. A. Determine the magnitude of the acceleration due to gravity on Mars. B. She then throws the hammer straight up into the Martian sky. If she comes back to her hand in 4.20 s, with what speed did she throw it?
A car from rest moves with a constant velocity of 60 km/h for 2 hours. The driver then decided to take a break for 1 hour then continue his journey for 3 hours with a speed of 30 km/h. After arriving to his destination, he then goes back where he came from with a speed of 30 km/h in 4 hours. a. Construct a Position-time graph of the motion.
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Given the equation of the displacement x of a certain object at any time t x = 2t + 3t² + 10, in meter a. What is the velocity of the object at time t = 5 seconds? b. What is the acceleration of the object at time t = 10 seconds? Note: Velocity is the first derivative of displacement. Acceleration is the second derivative of displacement.
Situation 02. Clarissa is running at 5 m/s to catch the school bus, which is stopped to a nearby bus stop. When Clarissa is still 40 meters away from the bus, the bus is already moving with a constant acceleration of 0.170 m/s?. a. Compute the time and the distance does Clarissa have to run before she can overtake the bus. b. At the instant she reaches the bus, how fast is the bus moving?
A frustrated office worker throws his laptop out of his business's high- rise office building. The height, h, in meters of the laptop above the ground at t seconds can be modelled by h(t) = 125-5t². a. Determine the average rate of change between the third and fourth second of the laptop's flight. b. Estimate the rate at which the laptop hits the ground.
One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters. a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes. b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed. NEED IN RUSH THANKS