Set 13: Quadratic Equations (Intermediate)

Explanation

Answer: A

What is the initial velocity of an object modeled by $h(t) = -16t^2 + 50t + 5$ ?

50 ft/s

✓ Correct

5 ft/s

-16 ft/s

32 ft/s

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The standard projectile motion equation is $h(t) = -16 t^2 + v_0 t + h_0$ . 1. Compare terms: $v_0 t$ corresponds to $50t$ . 2. Therefore, initial velocity $v_0 = 50$ ft/s. Choice B is incorrect because it is initial height. Choice C is incorrect because it represents gravity. Choice D is incorrect.

Key Steps:

•

The correct answer is 50 ft/s

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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