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The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.

A model rocket is launched off the ground at an initial velocity of 80 feet per second.
What domain makes sense for the function in this context?

A. all positive numbers

B. 0 ≤ t ≤ 5

C. all real numbers

D. 0 ≤ t ≤ 100

Respuesta :

Correct the answer is indeed
Explanation 5
mhanifa

Answer:

  • B. 0 ≤ t ≤ 5

Step-by-step explanation:

The function is g(t) = -16t² + vt + h

At h = 0 and v = 80 we get the function:

  • g(t) = -16t² + 80t

We know g(t) can't be negative, then:

  • -16t² + 80t ≥0
  • t² - 5t ≤ 0
  • t(t - 5) ≤ 5
  • t ≥0  and t ≤ 5, or
  • 0 ≤ t ≤ 5

Correct option is B