A toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = - 16t? + 128t (if air resistance is neglected). How high is the rocket off the ground when it is launched? (Hint: what would the t be at launch time?) 1. 2. At what time does the maximum height occur? (Hint: This is the t value of the vertex) 3. How high does the rocket go? (Hint: This is the h(t) value of the vertex) 4. What is the axis of symmetry? 5. When does the rocket hit the ground? (Hint: Set the equation equal to 0 and solve the equation. Easy to do by factoring) 6. How high is the rocket at 2 seconds? (Hint: t= 2) 7. When is the rocket at 252 feet? (Hint: You will need to set h(t) equal to 252 and use the quadratic equation)
A toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = - 16t? + 128t (if air resistance is neglected). How high is the rocket off the ground when it is launched? (Hint: what would the t be at launch time?) 1. 2. At what time does the maximum height occur? (Hint: This is the t value of the vertex) 3. How high does the rocket go? (Hint: This is the h(t) value of the vertex) 4. What is the axis of symmetry? 5. When does the rocket hit the ground? (Hint: Set the equation equal to 0 and solve the equation. Easy to do by factoring) 6. How high is the rocket at 2 seconds? (Hint: t= 2) 7. When is the rocket at 252 feet? (Hint: You will need to set h(t) equal to 252 and use the quadratic equation)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 22T
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Transcribed Image Text:A toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per
second, then its height h after t seconds is given by the equation h(t) = - 16t? + 128t (if air resistance is
neglected).
How high is the rocket off the ground when it is launched? (Hint: what would the t be at
launch time?)
1.
2. At what time does the maximum height occur? (Hint: This is the t value of the vertex)
3.
How high does the rocket go? (Hint: This is the h(t) value of the vertex)
4.
What is the axis of symmetry?
5. When does the rocket hit the ground? (Hint: Set the equation equal to 0 and solve the
equation. Easy to do by factoring)
6.
How high is the rocket at 2 seconds? (Hint: t= 2)
7.
When is the rocket at 252 feet? (Hint: You will need to set h(t) equal to 252 and use the
quadratic equation)
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