5
QuizMultiple Choice

Solving Quadratic Equations by Factoring

Question 5 • FL-1200330-Algebra 2 Sem 1 - Flex

The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t2. How long after launch does the projectile return to the ground?

Answer
A
2 seconds
B
4 seconds
C
14 seconds
D
16 seconds

Explanation

When the projectile reaches the ground, its height is 0. Set the equation equal to 0: 0 = 32t − 16t² = 16t(2 − t), which gives t = 0 or t = 2. Since t = 0 is the launch time, it returns to the ground after 2 seconds, choice A.

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