A rock is thrown from one side of a river to another. The function h(t) = −16t2 + 50t + 20
ℎ
(
)
=
−
16
2
+
50
+
20
gives the height in inches of the rock t seconds after it has been thrown.(4 points)
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Find h(1)
ℎ
(
1
)
. Response area
What does h(1)
ℎ
(
1
)
represent in the context of this problem? Response area
Does it make sense to find h(−10)
ℎ
(
−
10
)
in the context of this problem? Response area
What is a reasonable domain given the context of this problem?
Find h(1)
h(1) = -16(1)^2 + 50(1) + 20
h(1) = -16 + 50 + 20
h(1) = 54 inches
What does h(1) represent in the context of this problem?
h(1) represents the height of the rock, in inches, 1 second after it has been thrown.
Does it make sense to find h(-10) in the context of this problem?
No, it does not make sense to find h(-10) in the context of this problem because time cannot be negative in this scenario.
What is a reasonable domain given the context of this problem?
A reasonable domain for this problem would be t ≥ 0 since time cannot be negative when measuring the height of the rock.