Prove that the trajectory of a projectile is parabolic, having the form y= ax + bx2. To obtain this expression, solve the equation x=voxt for t and substitute it into the expression for y=voyt- (1/2)gt^2. (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain an equation of the form y=ax+bx2 where a and b are constants.

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
Chapter1: Introduction And Vectors
Section1.8: Some Properties Of Vectors
Problem 1.4QQ
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Prove that the trajectory of a projectile is parabolic, having the form y= ax + bx2. To obtain this expression, solve the equation x=voxt for t and substitute it into the expression for y=voyt- (1/2)gt^2. (These equations describe the x and y positions of a projectile that starts at the origin.) You should obtain
an equation of the form y=ax+bx2 where a and b are constants.

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