Average velocity

Aug 2010
4
0
during the first 50 s of a rocket's flight, the rocket is propelled straight up, so that in t seconds its height s is s(t)=t^3/sqrt(10)ft.

a)how high does the rocket travel in 50 s?

b) what is the average velocity of the rocket during the first 50s?

c)what is the average velocity of the rocket during the first 125ft?
 
Jan 2010
278
138
Is this your equation?
\(\displaystyle s(t) = \dfrac{t^3}{\sqrt{10}}\)

a)how high does the rocket travel in 50 s?
Plug in 50 into your equation for t.

b) what is the average velocity of the rocket during the first 50s?
Find \(\displaystyle \dfrac{s(50) - s(0)}{50 - 0}\).

c)what is the average velocity of the rocket during the first 125ft?
Plug in 125 for s(t) into your equation and solve for t. Whatever this answer is (I'll call it x), then find \(\displaystyle \dfrac{125 - s(0)}{x - 0}\).
 
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