5

Set 1: Quadratic Equations

Explanation

Answer: A

A stone is dropped from a bridge 144 ft high. h(t)=16t2+144h(t) = -16t^2 + 144. How long until it hits the water?

A.

3 seconds

✓ Correct
B.

9 seconds

C.

4.5 seconds

D.

12 seconds

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set h(t)=0h(t) = 0. 1. 16t2+144=0-16 t^2 + 144 = 0. 2. 16t2=14416t^2 = 144. 3. t2=9t^2 = 9. 4. t=3t = 3 seconds. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 3 seconds

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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