Question
Ajay launches a toy rocket from a platform. The height of the rocket in feet is given by h, of, t, equals, minus, 16, t, squared, plus, 112, t, plus, 60h(t)=−16t
2
+112t+60 where tt represents the time in seconds after launch. What is the rocket’s initial height?
2
+112t+60 where tt represents the time in seconds after launch. What is the rocket’s initial height?
Answers
GPT-4o mini
To find the rocket's initial height, we need to evaluate the height function \( h(t) \) at \( t = 0 \).
The height function is given by:
\[
h(t) = -16t^2 + 112t + 60
\]
Now, we substitute \( t = 0 \) into the function:
\[
h(0) = -16(0)^2 + 112(0) + 60
\]
Calculating this, we have:
\[
h(0) = 0 + 0 + 60 = 60
\]
Thus, the initial height of the rocket is **60 feet**.
The height function is given by:
\[
h(t) = -16t^2 + 112t + 60
\]
Now, we substitute \( t = 0 \) into the function:
\[
h(0) = -16(0)^2 + 112(0) + 60
\]
Calculating this, we have:
\[
h(0) = 0 + 0 + 60 = 60
\]
Thus, the initial height of the rocket is **60 feet**.