Numerical analysis

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• Mar 15th 2010, 06:24 PM
Suvadip
Numerical analysis
A rocket is launched from the ground. Its acceleration (a) is registered during the first 60 seconds and is given by

t(sec) : 0 10 20 30 40 50 60
a(m/sec^2):30.00 31.53 33.40 35.47 37.75 40.33 43.25
Find the velocity of the rocket at the end of the 60th second.
• Mar 15th 2010, 10:19 PM
CaptainBlack
Quote:

Originally Posted by Suvadip
A rocket is launched from the ground. Its acceleration (a) is registered during the first 60 seconds and is given by

t(sec) : 0 10 20 30 40 50 60
a(m/sec^2):30.00 31.53 33.40 35.47 37.75 40.33 43.25
Find the velocity of the rocket at the end of the 60th second.

Well the velocity is:

$\displaystyle v(t)=\int_0^t a(\xi) \; d\xi$

where $\displaystyle a(t)$ is the acceleration at time $\displaystyle t$. So you want:

$\displaystyle v(60)=\int_0^{60} a(\xi) \; d\xi$

Now use whatever method you have been taught to evaluate this numerically using $\displaystyle h=10$ s

CB