Question
A rock is thrown from one side of a river to another. The function h(t) = −16t2 + 80t + 30 gives the height in inches of the rock t seconds after it has been thrown.
This same rock is thrown and it follows the path modeled by the function
This same rock is thrown and it follows the path modeled by the function
Answers
GPT 3.5
h(t) = -16t^2 + 80t + 30.
To find the height of the rock at any given time t, we simply plug in the value of t into the function h(t) and solve for h.
For example, to find the height of the rock after 3 seconds, we would plug in t = 3 into the function:
h(3) = -16(3)^2 + 80(3) + 30
h(3) = -16(9) + 240 + 30
h(3) = -144 + 240 + 30
h(3) = 126
Therefore, after 3 seconds, the height of the rock would be 126 inches.
We can similarly find the height of the rock at any other time by plugging in that value of t into the function h(t).
To find the height of the rock at any given time t, we simply plug in the value of t into the function h(t) and solve for h.
For example, to find the height of the rock after 3 seconds, we would plug in t = 3 into the function:
h(3) = -16(3)^2 + 80(3) + 30
h(3) = -16(9) + 240 + 30
h(3) = -144 + 240 + 30
h(3) = 126
Therefore, after 3 seconds, the height of the rock would be 126 inches.
We can similarly find the height of the rock at any other time by plugging in that value of t into the function h(t).