Consider the quadratic model s(t)=-4t^2+574for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air.a) Find the maximum height attained by the object. Use the vertex formula.b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.
Consider the quadratic model s(t)=-4t^2+574for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air.a) Find the maximum height attained by the object. Use the vertex formula.b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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Question
Consider the quadratic model s(t)=-4t^2+574
for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air.
a) Find the maximum height attained by the object. Use the vertex formula.
b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.
Expert Solution
Step 1
To analyze the motion of the object using the given formula connecting distance (height) and time (after projection)
Step 2
Note: there seems to be a typing mistake in the equation. we work with the model s(t)=-4t^2+574
Step 3
(a): The vertex is the average of the points where s(t)=0 and the maximum height is attained at the vertex.
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