You fire a ball with an initial speed v0 at an angle ϕ above the surface of an incline, which is itself inclined at an angle θ above the horizontal (Figure 1). (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. What is the initial x -component of the ball's initial velocity? Express your answer in terms of the variables v0 , θ, ϕ. What is the initial y -component of the ball's initial velocity? Express your answer in terms of the variables v0 , θ, ϕ. You'll need to write an equation that relates x and y for points along the incline. What is this equation? Express your answer in terms of the variables x , θ, and appropriate constants, if needed.

You fire a ball with an initial speed v0 at an angle ϕ above the surface of an incline, which is itself inclined at an angle θ above the horizontal (Figure 1). (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. What is the initial x -component of the ball's initial velocity? Express your answer in terms of the variables v0 , θ, ϕ. What is the initial y -component of the ball's initial velocity? Express your answer in terms of the variables v0 , θ, ϕ. You'll need to write an equation that relates x and y for points along the incline. What is this equation? Express your answer in terms of the variables x , θ, and appropriate constants, if needed.

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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 16P: A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at...

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Projectile Motion

Topic Video

Question

What is the initial x

-component of the ball's initial velocity?

Express your answer in terms of the variables v0

, θ, ϕ.

What is the initial y

-component of the ball's initial velocity?

Express your answer in terms of the variables v0

, θ, ϕ.

You'll need to write an equation that relates x

and y

for points along the incline. What is this equation?

Express your answer in terms of the variables x

, θ, and appropriate constants, if needed.

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