An object is fired at an angle θ above the ground with an initial speed of v0. Find an expression for the horizontal position x of the projectile when it hits the ground in terms of v0, θ, and g (gravity). Start with the kinematic equations for x(t) and y(t). Use y = 0. Then eliminate time t. Note that sin(2θ) = 2 cos θ sin θ

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 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...
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An object is fired at an angle θ above the ground with an initial speed of v0. Find an expression for the horizontal position x of the projectile when it hits the ground in terms of v0, θ, and g (gravity). Start with the kinematic equations for x(t) and y(t). Use y = 0. Then eliminate time t. Note that sin(2θ) = 2 cos θ sin θ

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