Find r(t): Given Initial Conditions

[mamma_mia66]

Homework Statement

Given $$\vec{}$$r"(t)= 6i-4cos (2t)j+ 9e^3tk,
r'$$\vec{}$$ (0)= 4i +3k and r$$\vec{}$$(0)=j+k, find r$$\vec{}$$(t).

Homework Equations

The Attempt at a Solution

I will appreciate any ideas how to start this problem. Thank you.

 

[Unco]

Homework Statement

Given $$\vec{}$$r"(t)= 6i-4cos (2t)j+ 9e^3tk,
r'$$\vec{}$$ (0)= 4i +3k and r$$\vec{}$$(0)=j+k, find r$$\vec{}$$(t).

Homework Equations

The Attempt at a Solution

I will appreciate any ideas how to start this problem. Thank you.

If r(t) = x(t)i + y(t)j + z(t)k, then r''(t) = x''(t)i + y''(t)j + z''(t)k.

How you would you normally solve x''(t)=6 for x(t), given x'(0) and x(0) ?

What is troubling you?

 

[mamma_mia66]

I get it now. I need to integrate the given. Thank you.