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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The x- and y-coordinates of a projectile launched from the origin are x = v0xt and y = v0yt 1 2 gt2. Solve the first of these equations for time t and substitute into the second to show that the path of a projectile is a parabola with the form y = ax + bx2, where a and b are constants.

To determine
Show that the path of a projectile is a parabola.

Explanation

The x coordinate of the projectile is,

x=v0xt

The time is,

t=xv0x

The y coordinate of the projectile is,

y=v0yt12gt2

Substituting for t ,

y=(v0yv0x)x+

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