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radiation · Aug 21, 2009, 02:21 AM

d^2(z)/ dt^2 = 0
How do we integrate this twice?
Please give me the steps of working too..

galactus · Aug 21, 2009, 04:37 AM

Remember how derivatives and integrals complement one another.

If we integrate once, we get it down to a first derivative. The 0 on the right becomes a constant.

$\int \frac{d^{2}z}{dt^{2}}=\int 0 dt$

It becomes:

$\frac{dz}{dt}=C_{1}$

Integrate again:

$\int\frac{dz}{dt}=\int C_{1} dt$

It becomes:

$z=C_{1}t+C_{2}$

That's it.

radiation · Aug 21, 2009, 06:20 AM

Thanks a lot...