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A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +48 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s², so the acceleration vector is a = -4j- 32k. Where does the ball land? (Round your answers to one decimal place.) x ft from the origin at an angle of from the eastern direction toward the south With what speed (in ft/s) does the ball hit the ground? (Round your answer to one decimal place.) ft/s

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +48 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s², so the acceleration vector is a = -4j- 32k. Where does the ball land? (Round your answers to one decimal place.) x ft from the origin at an angle of from the eastern direction toward the south With what speed (in ft/s) does the ball hit the ground? (Round your answer to one decimal place.) ft/s

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 48E
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A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +48 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s², so the acceleration vector is a = -4j - 32k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of from the eastern direction toward the south With what speed (in ft/s) does the ball hit the ground? (Round your answer to one decimal place.) ft/s
Transcribed Image Text:A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +48 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s², so the acceleration vector is a = -4j - 32k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of from the eastern direction toward the south With what speed (in ft/s) does the ball hit the ground? (Round your answer to one decimal place.) ft/s
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