14
QuizMultiple Choice

Modeling with Quadratic Equations

Question 14 • FL-1200700-Mathematics for College Algebra MIS

An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2.How many seconds will it take the object to reach the ground?

Answer
A
2 seconds
B
3 seconds
C
9 seconds
D
16 seconds

Explanation

The object reaches the ground when its height is 0. Set 144 − 16t² = 0, which gives 16t² = 144 and t² = 9. Since time cannot be negative, t = 3 seconds, so the correct choice is 3 seconds.

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