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

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.

Thanks a lot...