5
advanced-math

What is the initial velocity of an object modeled by h(t)=−16t2+50t+5h(t) = -16t^2 + 50t + 5?

A

50 ft/s

B

5 ft/s

C

-16 ft/s

D

32 ft/s

Correct Answer: A

Choice A is the correct answer. The standard projectile motion equation is h(t)=−16t2+v0t+h0h(t) = -16t^2 + v_0t + h_0.

  1. Compare terms: v0tv_0t corresponds to 50t50t.
  2. Therefore, initial velocity v0=50v_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.

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