Answered: a. Find the velocity and position…

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.

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

Section: Chapter Questions

Problem 19P: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed...

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Question

Consider the motion of a soccer ball that is kicked from the point x0,y0=⟨0,0⟩ with an initial velocity of u0,v0=⟨35,9⟩ 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.

*Please find a,b,c, and d

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