# Math Help - Numerical analysis

1. ## 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.

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:

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

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

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

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

CB