Quadratic Equation Word Problem To Optimization (y) - Height over Time

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Quadratic Equation Word Problem To Optimization (y) - Height over Time Worksheet

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Quadratic Equation Word Problem To Optimization (y) - Height over Time
1
Given this equation for the height of a rocket as a function of time, what is its maximum height?
A LaTex expression showing h(t) = -2t to the power of 2 + 4t + 11
a A LaTex expression showing h = 13m
b A LaTex expression showing h = 9m
c A LaTex expression showing h = 14m
2
Given this equation for the height of a ball thrown from a window, what is its maximum height?
A LaTex expression showing h(t) = -8t to the power of 2 + 5t + 2
a A LaTex expression showing h = 0.219m
b A LaTex expression showing h = 2.219m
c A LaTex expression showing h = 2.781m
3
Given this equation for the height of a soccer ball kicked from ground, what is its maximum height?
A LaTex expression showing h(t) = -5t to the power of 2 + 10t + 8
a A LaTex expression showing h = 13m
b A LaTex expression showing h = 12m
c A LaTex expression showing h = 18m
4
Given this equation for the height of a ball thrown from a window, what is its maximum height?
A LaTex expression showing h(t) = -4t to the power of 2 + 2t + 10
a A LaTex expression showing h = 13.25m
b A LaTex expression showing h = 10.25m
c A LaTex expression showing h = 7.25m
5
Given this equation for the height of a rocket as a function of time, what is its maximum height?
A LaTex expression showing h(t) = -3t to the power of 2 + 7t + 2
a A LaTex expression showing h = 6.083m
b A LaTex expression showing h = 1.083m
c A LaTex expression showing h = 8.083m
6
Given this equation for the height of a rocket as a function of time, what is its maximum height?
A LaTex expression showing h(t) = -10t to the power of 2 + 10t + 11
a A LaTex expression showing h = 9.5m
b A LaTex expression showing h = 13.5m
c A LaTex expression showing h = 10.5m
7
Given this equation for the height of a rocket as a function of time, what is its maximum height?
A LaTex expression showing h(t) = -7t to the power of 2 + 7t + 10
a A LaTex expression showing h = 11.75m
b A LaTex expression showing h = 6.75m
8
Given this equation for the height of a rocket as a function of time, what is its maximum height?
A LaTex expression showing h(t) = -10t to the power of 2 + 4t + 6
a A LaTex expression showing h = 3.4m
b A LaTex expression showing h = 6.4m
c A LaTex expression showing h = 8.4m