Integration

Hello everyone,

I need some help with this question:

"Express s as a function of t given that d^2s/dt^2 = at^(1/3), where a is a constant, and tht when t is 0, s is 0 and ds/dt = u"

I've integrated the at^(1/3), but I don't know what to do next?

Hello everyone,

I need some help with this question:

"Express s as a function of t given that d^2s/dt^2 = at^(1/3), where a is a constant, and tht when t is 0, s is 0 and ds/dt = u"

I've integrated the at^(1/3), but I don't know what to do next?

Hello everyone,

I need some help with this question:

"Express s as a function of t given that d^2s/dt^2 = at^(1/3), where a is a constant, and tht when t is 0, s is 0 and ds/dt = u"

I've integrated the at^(1/3), but I don't know what to do next?

By integrating you would've got the first derivative (i.e something + c). You can determine c by using the information that is given.

Once you've done that, integrate once more (you'll get something + another constant) and use the other piece of info to finish it off

Would the "c" be equivalent to u? And then derive it in respect to "u"?

The first bit is right.

Remember that s only depends on t, and so u is just a constant. They could've also said something like "when t is 0, s is 3". Deal with it in the same way

So... you integrate ((3at^(4/3))/4)+u ?

Yes, with respect to t

Cool. Thank you!