Quadratic Equation Word Problem To Solution - 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 Solution - Height over Time Worksheet

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Quadratic Equation Word Problem To Solution - Height over Time
1
Given this equation for the height of a soccer ball kicked from ground, when does it land?
A LaTex expression showing h(t) = -5t to the power of 2 + 3t + 7
a A LaTex expression showing t = 1.479s
b A LaTex expression showing t = 4.521s
c A LaTex expression showing t = 1.521s
2
Given this equation for the height of a soccer ball kicked from ground, when does it land?
A LaTex expression showing h(t) = -5t to the power of 2 + 8t + 9
a A LaTex expression showing t = 7.362s
b A LaTex expression showing t = 2.362s
3
Given this equation for the height of a rocket as a function of time, when does it land?
A LaTex expression showing h(t) = -10t to the power of 2 + 11t + 7
a A LaTex expression showing t = 1.551s
b A LaTex expression showing t = 2.551s
c A LaTex expression showing t = 1.449s
4
Given this equation for the height of a ball thrown from a window, when does it land?
A LaTex expression showing h(t) = -8t to the power of 2 + 11t + 2
a A LaTex expression showing t = 3.462s
b A LaTex expression showing t = 2.538s
c A LaTex expression showing t = 1.538s
5
Given this equation for the height of a soccer ball kicked from ground, when does it land?
A LaTex expression showing h(t) = -9t to the power of 2 + 7t + 3
a A LaTex expression showing t = 3.085s
b A LaTex expression showing t = 1.085s
c A LaTex expression showing t = 0.085s
6
Given this equation for the height of a rocket as a function of time, when does it land?
A LaTex expression showing h(t) = -6t to the power of 2 + 4t + 2
a A LaTex expression showing t = 1s
b A LaTex expression showing t = 2s
c A LaTex expression showing t = 6s
7
Given this equation for the height of a soccer ball kicked from ground, when does it land?
A LaTex expression showing h(t) = -3t to the power of 2 + 3t + 2
a A LaTex expression showing t = 5.457s
b A LaTex expression showing t = 3.457s
c A LaTex expression showing t = 1.457s
8
Given this equation for the height of a ball thrown from a window, when does it land?
A LaTex expression showing h(t) = -2t to the power of 2 + 11t + 6
a A LaTex expression showing t = 6s
b A LaTex expression showing t = 3s