The x- and y-coordinates of a projectile launched from the origin are x = Vort and y = voyt – ¿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 + bx, where a and bare constants.

The x- and y-coordinates of a projectile launched from the origin are x = Vort and y = voyt – ¿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 + bx, where a and bare constants.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 8CQ: Answer the following questions for projectile motion on level ground assuming negligible air...

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Question

The x- and y-coordinates of a projectile launched from
the origin are x = Vort and y = voyt – ¿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 + bx, where a and bare constants.

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