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At t=0, a soccer ball is kicked due east (use the positive direction of the x x-axis as the eastward direction). Its initial speed is 10 m/s and its initial angle is 30 degrees above the horizontal. Due to strong westerly wind and the effect of gravitation, the acceleration of the soccer ball is a(1)=(-kt,-g), a(t)=(-kt,-g), where k is a positive constant. (a) Find the velocity v(t) of the ball. (b) Find the position vector r(t) of the ball. (c) Suppose that the ball lands back at the kicker's feet, exactly where it started. Find the value of the constant k. For ease of computation, we are using g-10 m/s2 m/s2.

At t=0, a soccer ball is kicked due east (use the positive direction of the x x-axis as the eastward direction). Its initial speed is 10 m/s and its initial angle is 30 degrees above the horizontal. Due to strong westerly wind and the effect of gravitation, the acceleration of the soccer ball is a(1)=(-kt,-g), a(t)=(-kt,-g), where k is a positive constant. (a) Find the velocity v(t) of the ball. (b) Find the position vector r(t) of the ball. (c) Suppose that the ball lands back at the kicker's feet, exactly where it started. Find the value of the constant k. For ease of computation, we are using g-10 m/s2 m/s2.

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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Crowdmark P MyLab & Masterin... N CAESAR - Northw... P GEN_ENG_205-1 (... onds ago BIU A 三三三三 1三三▼m▼三E 5... I 9. At t=0, a soccer ball is kicked due east (use the positive direction of the x x-axis as the eastward direction). Its initial speed is 10 m/s and its initial angle is 30 degrees above the horizontal. Due to strong westerly wind and the effect of gravitation, the acceleration of the soccer ball is a(1)=(-kt,-g), a(t)=(-kt,-g), where k is a positive constant. (a) Find the velocity v(t) of the ball. (b) Find the position vector r(t) of the ball. (c) Suppose that the ball lands back at the kicker's feet, exactly where it started. Find the value of the constant k. For ease of computation, we are using g=10 m/s2 m/s2.
Transcribed Image Text:Crowdmark P MyLab & Masterin... N CAESAR - Northw... P GEN_ENG_205-1 (... onds ago BIU A 三三三三 1三三▼m▼三E 5... I 9. At t=0, a soccer ball is kicked due east (use the positive direction of the x x-axis as the eastward direction). Its initial speed is 10 m/s and its initial angle is 30 degrees above the horizontal. Due to strong westerly wind and the effect of gravitation, the acceleration of the soccer ball is a(1)=(-kt,-g), a(t)=(-kt,-g), where k is a positive constant. (a) Find the velocity v(t) of the ball. (b) Find the position vector r(t) of the ball. (c) Suppose that the ball lands back at the kicker's feet, exactly where it started. Find the value of the constant k. For ease of computation, we are using g=10 m/s2 m/s2.
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