A rocket is launched in the air from the ground and is 100 ft high after 1 second. After 2 seconds it is 280 ft high. Which of the following is the quadratic function that models its height h(t) after t seconds?
a...h(t)= 60t^2+40t
b.. h(t)=40t^2 + 60t
c...h(t)= 60t^2-40t
d...h(t)= 40t^2-60t
I am not looking for simply the answer. I want to you how to find it from the list provided.
Hello, nycmath!
A rocket is launched in the air from the ground and is 100 ft high after 1 second.
After 2 seconds, it is 280 ft high.
Which of the following is the quadratic function that models its height h(t) after t seconds?
. .![\begin{array}{c}(a)\;h(t)\:=\:60t^2+40t \\ \\[-4mm] (b)\;h(t)\:=\:40t^2 + 60t \\ \\[-4mm] (c)\;h(t)\:=\: 60t^2-40t \\ \\[-4mm] (d)\; h(t)\:=\: 40t^2-60t \end{array}](http://latex.codecogs.com/png.latex?\begin{array}{c}(a)\;h(t)\:=\:60t^2+40t \\ \\[-4mm] (b)\;h(t)\:=\:40t^2 + 60t \\ \\[-4mm] (c)\;h(t)\:=\: 60t^2-40t \\ \\[-4mm] (d)\; h(t)\:=\: 40t^2-60t \end{array})
We are told that: .
Determine which of the functions produces those values.
If you are thinking there may be a more physical way to solve this (hey, it's a height vs. time problem after all) there isn't one. The accelerations aren't physical, at least near the Earth anyway.Originally Posted by nycmath
-Dan
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