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h(t)=-16.1t^(2)+5t+32.4
Mark is tossing a set of keys from his balcony to his friends below. The function models 
h, the height of the keys in feet 
t seconds after the toss. What is the initial height of the keys in feet?
Choose 1 answer:
(A) 0
(B) 5
(C) 16.1
(D) 32.4

h(t)=16.1t2+5t+32.4 h(t)=-16.1 t^{2}+5 t+32.4 \newlineMark is tossing a set of keys from his balcony to his friends below. The function models h h , the height of the keys in feet t t seconds after the toss. What is the initial height of the keys in feet?\newlineChoose 11 answer:\newline(A) 00\newline(B) 55\newline(C) 1616.11\newline(D) 3232.44

Full solution

Q. h(t)=16.1t2+5t+32.4 h(t)=-16.1 t^{2}+5 t+32.4 \newlineMark is tossing a set of keys from his balcony to his friends below. The function models h h , the height of the keys in feet t t seconds after the toss. What is the initial height of the keys in feet?\newlineChoose 11 answer:\newline(A) 00\newline(B) 55\newline(C) 1616.11\newline(D) 3232.44
  1. Identify Initial Height: Identify the term in the function that represents the initial height. The initial height is the value of h(t)h(t) when t=0t = 0. This is the constant term in the quadratic function.
  2. Find Constant Term: Find the constant term in the function h(t)=16.1t2+5t+32.4h(t) = -16.1t^2 + 5t + 32.4.\newlineThe constant term is the term without the variable tt, which is 32.432.4.
  3. Conclude Initial Height: Conclude the initial height of the keys. Since the constant term is 32.432.4, this is the initial height of the keys when t=0t = 0.

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