Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of (uo,vo) = (25,7) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. a. The velocity vector is v(t) = ..

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of
(40,vo) = (25,7) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground
is horizontal, and only the gravitational force acts on the object.
a. Find the velocity and position vectors for t≥ 0.
b. Graph the trajectory.
c. Determine the time of flight and range of the soccer ball.
d. Determine the maximum height of the soccer ball.
a. The velocity vector is v(t) = .
Transcribed Image Text:Consider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of (40,vo) = (25,7) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. a. The velocity vector is v(t) = .
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