Sketch of situation: Vo -R- In the sketch above, which variable is related to the horizontal displacement of the motorcycle? Does the motorcycle leave the ramp at an angle? (Yes/No) At the moment of launch -the instant when the motorcycle leaves the ramp: is the horizontal component of the motorcycle's velocity (Vox) to the right, to the left or zero? After launch while the motorcycle flies through the air, is the horizontal acceleration of the motorcycle to the right, to the left or zero? Use Equation (1) and your answers to the questions above to get an equation for the horizontal part of the motion. There should be no numbers in your final answer (except any that are part of the equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In Equation 1, what variable represents the horizontal displacement? Do you need Equation 3?)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Here you are designing a motorcycle stunt where the motorcycle leaves a ramp at an angle θ and lands
on another ramp of the same height. You need to know where to place the second ramp. You will
make a mathema1cal model to predict the range (i.e., to predict how far the motorcycle will land from
the first ramp).

**Sketch of Situation:**

The diagram shows a motorcycle on a ramp with initial velocity \(v_0\). The motorcycle follows a parabolic trajectory after leaving the ramp.

**Questions:**

1. **In the sketch above, which variable is related to the horizontal displacement of the motorcycle?**

2. **Does the motorcycle leave the ramp at an angle? (Yes/No)**

3. **At the moment of launch—the instant when the motorcycle leaves the ramp—is the horizontal component of the motorcycle’s velocity (\(v_{0x}\)) to the right, to the left, or zero?**

4. **After launch, while the motorcycle flies through the air, is the horizontal acceleration of the motorcycle to the right, to the left, or zero?**

**Instructions:**

Use Equation (1) and your answers to the questions above to derive an equation for the horizontal part of the motion. There should be no numbers in your final answer (except any that are part of the equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In Equation 1, what variable represents the horizontal displacement? Do you need Equation 3?)
Transcribed Image Text:**Sketch of Situation:** The diagram shows a motorcycle on a ramp with initial velocity \(v_0\). The motorcycle follows a parabolic trajectory after leaving the ramp. **Questions:** 1. **In the sketch above, which variable is related to the horizontal displacement of the motorcycle?** 2. **Does the motorcycle leave the ramp at an angle? (Yes/No)** 3. **At the moment of launch—the instant when the motorcycle leaves the ramp—is the horizontal component of the motorcycle’s velocity (\(v_{0x}\)) to the right, to the left, or zero?** 4. **After launch, while the motorcycle flies through the air, is the horizontal acceleration of the motorcycle to the right, to the left, or zero?** **Instructions:** Use Equation (1) and your answers to the questions above to derive an equation for the horizontal part of the motion. There should be no numbers in your final answer (except any that are part of the equation), but you may substitute any quantities that are zero to simplify your expression. (Hints: In Equation 1, what variable represents the horizontal displacement? Do you need Equation 3?)
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