7. Consider dropping a basketball from a height of six feet while standing on a flat surface. Ifthe ball rebounds from each bounce to a point 90% as high as its previous height...(a) ...find the total distance that the ball travels (up and down) before coming to rest.(b) ...find the total time necessary for the ball to come to rest.Use the fact that the amount of time it takes for an object to fall from height h to theground can be found from h = gt². Use g = 32.2 ft per second per second.

Answered: Image /qna-images/answer/6e35e999-d11d-420e-9b51-d46c9cfd04dd.jpg

Answered: 7. Consider dropping a basketball from…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A trough full of water is 12 ft long and its cross-section is in the shape of an isosceles trapezoid 1 ft high, 2 ft wide at the bottom, and 3 ft wide at the top. Find the work done in pumping the water to a point 2 ft above the top of the trough. Ans. 74w
Monica drives to work each day from point Point C A to point C. The following sketch shows the two possible routes. Complete parts (a) through (c). 17 km 15 km Point B Point D 13 km 13 km Point A O Point E 10 km (a) How many kilometers is the trip if she drives through point B? The trip is km. What is her average speed if this trip takes her 0.3 hour? The average speed is km/hr. (b) How many kilometers is the trip if she drives through point E and Point D? The trip is km. What is her average speed if this trip takes her 0.5 hour? The average speed is km/hr.
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The Waterfall Buffet in the lower level of the National ArtGallery serves food cafeteria-style daily to visitors andemployees. The buffet is self-service. From 7:00 A.M. to9:00 A.M. customers arrive at the buffet at a rate of eight perminute; from 9:00 A.M. to noon, at four per minute; from noon to 2:00, at 14 per minute; and from 2:00 P.M. to clos-ing at 5:00 P.M., at eight per minute (Poisson distributed). All the customers take about the same amount of time to serve themselves and proceed to the buffet. Once a cus-tomer goes through the buffet, it takes an average of 0.4 minute (exponentially distributed) to pay the cashier.The gallery does not want a customer to have to wait longerthan four minutes to pay. How many cashiers should beworking at each of the four times during the day?
1. A woman jogs halfway home at 8 km/h and walks the rest of the way at 6 km/h. Find her average velocity for the entire trip. 2. A girl throws a ball 20 m vertically into the air. (a) How long does she have to wait to catch it on the way down? (b) What was its initial velocity? (c) What will be its final velocity? 3. A 50-kg boy at rest on roller skates catches a 0.6-kg ball moving toward him at 30 m/s. How fast does he move backward as a result?
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→ 12. Consider throwing a basketball straight up from a height of six feet while standing on a flat surface. If the ball reaches a height of 15 feet, and the ball rebounds from each bounce to a point 90% as high as its previous height, find the total distance that the ball travels (up and down) before coming to rest.
A Ferris wheel has a diameter of 70 m, with a minimum height of 8 m above the ground. It takes 20 seconds for the Ferris wheel to complete one rotation. If a rider boards a car when it is at its lowest point: Q: After how many seconds is the rider at the maximum height for the first time? Note: round your answer to a whole number. A: For the first time the rider is at the maximum height after seconds. Your Answer: Answer --
A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean. (a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s. m/s (b) What is its altitude? m

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