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14. A particle travels counterclockwise around a circle of 36m radius so that the distance from a fixed point O on the right end of a horizontal diameter is given by s = 20t + 2t where s is in meters and t is in seconds. Determine: a. Acceleration x-axis b. Acceleration y-axis

14. A particle travels counterclockwise around a circle of 36m radius so that the distance from a fixed point O on the right end of a horizontal diameter is given by s = 20t + 2t where s is in meters and t is in seconds. Determine: a. Acceleration x-axis b. Acceleration y-axis

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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11. A stone is thrown with a velocity of 30m/s pointed 36.87 degrees above the horizontal from the top of a cliff, 68.4m high. a. How far from the face of the cliff will it strike a horizontal plane through the base of the cliff? b. If sound travels approximately 350 m/s, how long after the stone is thrown will the sound of the impact be heard? 12. The Y coordinates of a particle which moves along a curve are given by y = 20t + where y is in meters and t is in seconds. When t=2s, the total acceleration is 5m/s^2. If the component of acceleration in the positive x-direction is constant and the particles starts from the origin with Vx=0 at t=0, determine the total velocity and position of the particle when t=5s 13. A rifle is fired from the top of a 90m building. The initial velocity of the bullet is 350 m/s and the rifle is pointed 30 degrees above the horizontal. a. When will the bullet strike the ground? b. Where will the bullet strike the ground? c. What is the maximum height attained by the bullet? 14. A particle travels counterclockwise around a circle of 36m radius so that the distance from a fixed point O on the right end of a horizontal diameter is given by s = 20t + 2t where s is in meters and t is in seconds. Determine: a. Acceleration x-axis b. Acceleration y-axis 15. The driver of a car applies the brakes to produce a uniform deceleration. The speed is 90kph at the bottom A and 54 kph at the top C, which is 80m along the road from A. The passenger experiences a total acceleration of 3.2 m/s^2 at C and the radius of curvature at A is 255m. Neglecting the dimensions of the car, as compared with those of the path, determine the 40m 40 B. a. The radius of curvature at C b. The total acceleration at A c. The acceleration at the inflection point B
Transcribed Image Text:11. A stone is thrown with a velocity of 30m/s pointed 36.87 degrees above the horizontal from the top of a cliff, 68.4m high. a. How far from the face of the cliff will it strike a horizontal plane through the base of the cliff? b. If sound travels approximately 350 m/s, how long after the stone is thrown will the sound of the impact be heard? 12. The Y coordinates of a particle which moves along a curve are given by y = 20t + where y is in meters and t is in seconds. When t=2s, the total acceleration is 5m/s^2. If the component of acceleration in the positive x-direction is constant and the particles starts from the origin with Vx=0 at t=0, determine the total velocity and position of the particle when t=5s 13. A rifle is fired from the top of a 90m building. The initial velocity of the bullet is 350 m/s and the rifle is pointed 30 degrees above the horizontal. a. When will the bullet strike the ground? b. Where will the bullet strike the ground? c. What is the maximum height attained by the bullet? 14. A particle travels counterclockwise around a circle of 36m radius so that the distance from a fixed point O on the right end of a horizontal diameter is given by s = 20t + 2t where s is in meters and t is in seconds. Determine: a. Acceleration x-axis b. Acceleration y-axis 15. The driver of a car applies the brakes to produce a uniform deceleration. The speed is 90kph at the bottom A and 54 kph at the top C, which is 80m along the road from A. The passenger experiences a total acceleration of 3.2 m/s^2 at C and the radius of curvature at A is 255m. Neglecting the dimensions of the car, as compared with those of the path, determine the 40m 40 B. a. The radius of curvature at C b. The total acceleration at A c. The acceleration at the inflection point B
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