Question

At t sec after lift-off, the height of a rocket is 3t^2 ft. how fast is the rocket climbing after 10 seconds?

Answer 1

let S be a function of t for simplicity.
\(S(t)=3t^2\)
The question asks 'how fast', which implies that you're going to find the rate fo change of t.
As such, just differentiate S(t) and find S(10).
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