A calculator may be used on the following questions.The position vector of particle moving in the xy-plane is . What is the distance traveled bythe particle from t=0 to tπ? Round your answer to three decimal places.Select one:a. 42.912b. 10.354○ c. 9.870Od. 12.335

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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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In one of the rides at an amusement park, you sit in a circular "car" and cause it to rotate by turning a wheel in the center. The faster you turn the wheel, the faster the car rotates. How far from the center of the car are you sitting if your car makes one revolution every 5 seconds and your linear speed is 4 feet per second? Express your answer in feet. Round your answer to 2 decimal places. feet TIP Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
% 5 A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in rad/min. Enter the exact answer. t w = Number How many revolutions per minute do the wheels make? Round your answer to three decimal places. The wheels make 6 rad/min & 7 O u MBI acer * revolutions per minute. 8 1 ( 9 Submit Assignment A O ) 0 р 11 Quit & Save D + || = ES Back 8 A backsp 86
Click the play button and note the values of the angular speed w, and the linear speed v. (i) How does decreasing the radius affect the linear speed? (ii) How does increasing the radius affect the angular speed? Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. (1) Choose the correct answer below. O A. When the radius decreases the linear speed increases. B. When the radius decreases the linear speed stays the same. C. When the radius decreases the linear speed decreases. (ii) Choose the correct answer below. O A. When the radius increases the angular speed increases. O B. When the radius increases the angular speed stays the same. O C. When the radius increases the angular speed decreases.
Question 11 Application: Projectile Motion A baseball, hit 4 feet above the ground, leaves the bat at an angle of 35° and is caught by an outfielder 5 feet above the ground and 256 feet from home plate. Neglecting air resistance, what was the initial speed of the ball? Question Help: Video Submit Question Your answer should be in feet per second, but do not enter the units in the answerbox. V0 = Search H

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A calculator may be used on the following questi The position vector of particle moving in the xy-plane is . What is the distance traveled by the particle from t=0 to tπ? Round your answer to three decimal places. Select one: a. 42.912 b. 10.354 C. 9.870 ○ d. 12.335