Respond to each of the questions. Your solutions must document all of your work. Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec. Use the general formula for the vertical position (height) of an object moving under the influence of gravity where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2. Graph your equation with time on the horizontal axis and height on the vertical axis. Let the values for time range from 0 to 10 seconds and the values for the height range from 0 to 200 feet. Include your graph in this response. Refer to your graph in Question 2. Explain what the vertex, x-intercept, and y-intercept represent in the context of this problem. Calculate the time(s) at which the rocket is at a height of 40 ft. (Round to 1 decimal place.) Is this the maximum height the rocket will reach? Justify your response. Calculate the time(s) at which the rocket is at a height of at least 85 ft above the ground. Round to the nearest hundredth. Explain your answer.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Instructions:

Respond to each of the questions. Your solutions must document all of your work.

Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.

Use the general formula for the vertical position (height) of an object moving under the influence of gravity where s₀ is initial vertical position, v₀ is initial velocity, and s is vertical position of the object.

Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec².

Graph your equation with time on the horizontal axis and height on the vertical axis. Let the values for time range from 0 to 10 seconds and the values for the height range from 0 to 200 feet. Include your graph in this response.

Refer to your graph in Question 2. Explain what the vertex, x-intercept, and y-intercept represent in the context of this problem.

Calculate the time(s) at which the rocket is at a height of 40 ft. (Round to 1 decimal place.) Is this the maximum height the rocket will reach? Justify your response.

Calculate the time(s) at which the rocket is at a height of at least 85 ft above the ground. Round to the nearest hundredth. Explain your answer.

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