Hello!

I'm taking Math 151 this quarter, and I'm having some difficulty with this problem. Thank you in advance!

A strange object is moving in the air (defying gravity) so that its height after tt seconds is given by h(t)=12sin(t)cos(t)+6t meters If you graph this function, you can see it's moving up and down, but going higher and higher as time goes on. a) At what time, t, does the object first change direction from going up to going down? Please be exact with your answers. No decimals allowed. And of course show all calculus and algebra work. t=? seconds

b) What is the acceleration of the object at that same time? acceleration at that time = ? meters/sec^2 Again, be exact with your answers. No decimals allowed and show all work.