A football player launches the ball from initial position x(0)=y(0)%=D0, with initial velocity v = v, cos 0 i + vo sin 0j. Neglecting drag, the ball's trajectory describes a parabola in the Oxy plane, where y is the vertical upward direction and x is the horizontal direction. After a distance d along the x-direction, the ball returns to the ground at y=D0. (a) Find a formula for vo as a function of the angle 0 and the distance d. (b) Assuming d = 49 m, 0 = 45°, find the time it takes for the ball to return to the ground. (c) Now, consider drag. The drag force is F = -bv, with b=constant. Find a formula for the horizontal distance traveled by the ball, Xh, when the ball reaches maximum height, y(xh)=Vmaxi Xh should be expressed as a function of b, g, Vo, 0, and the ball's mass m.
A football player launches the ball from initial position x(0)=y(0)%=D0, with initial velocity v = v, cos 0 i + vo sin 0j. Neglecting drag, the ball's trajectory describes a parabola in the Oxy plane, where y is the vertical upward direction and x is the horizontal direction. After a distance d along the x-direction, the ball returns to the ground at y=D0. (a) Find a formula for vo as a function of the angle 0 and the distance d. (b) Assuming d = 49 m, 0 = 45°, find the time it takes for the ball to return to the ground. (c) Now, consider drag. The drag force is F = -bv, with b=constant. Find a formula for the horizontal distance traveled by the ball, Xh, when the ball reaches maximum height, y(xh)=Vmaxi Xh should be expressed as a function of b, g, Vo, 0, and the ball's mass m.
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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![A football player launches the ball from initial position x(0)=y(0)=0, with initial velocity v = v, cos 8 î + v, sin 0j. Neglecting drag, the ball's trajectory
describes a parabola in the Oxy plane, where y is the vertical upward direction and x is the horizontal direction. After a distance d along the x-direction, the
ball returns to the ground at y=0. (a) Find a formula for vo as a function of the angle 0 and the distance d. (b) Assuming d = 49 m, 0 = 45°, find the time it
takes for the ball to return to the ground. (c) Now, consider drag. The drag force is F = -bv, with b-constant. Find a formula for the horizontal distance
traveled by the ball, Xh, when the ball reaches maximum height, y(xn)=ymax; Xh should be expressed as a function of b, g, vo, 0, and the ball's mass m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe923e7f9-7f73-49f7-869e-7f9e5f0b6fa2%2F5f16d565-2cc8-40d2-9d2b-b1b4f9203528%2Ftbzn8y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A football player launches the ball from initial position x(0)=y(0)=0, with initial velocity v = v, cos 8 î + v, sin 0j. Neglecting drag, the ball's trajectory
describes a parabola in the Oxy plane, where y is the vertical upward direction and x is the horizontal direction. After a distance d along the x-direction, the
ball returns to the ground at y=0. (a) Find a formula for vo as a function of the angle 0 and the distance d. (b) Assuming d = 49 m, 0 = 45°, find the time it
takes for the ball to return to the ground. (c) Now, consider drag. The drag force is F = -bv, with b-constant. Find a formula for the horizontal distance
traveled by the ball, Xh, when the ball reaches maximum height, y(xn)=ymax; Xh should be expressed as a function of b, g, vo, 0, and the ball's mass m.
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