Maximum height reached by a projectile

[sid9221]

http://dl.dropbox.com/u/33103477/gravity.png

I have worked out the first two bits. (So you can assume that I have that) But I can't figure out how to work out the maximum height reached.

I know there I can equal the KE and the PE to work out max height, but that doesn't look like it'll work here.

 

[vela]

Integrate v(t) to find y(t).

 

[Ray Vickson]

http://dl.dropbox.com/u/33103477/gravity.png

I have worked out the first two bits. (So you can assume that I have that) But I can't figure out how to work out the maximum height reached.

I know there I can equal the KE and the PE to work out max height, but that doesn't look like it'll work here.

The KE/PE argument will not work because of the presence of air drag. However, you don't need it. You have $v = dy/dt.$ Do you recall the conditions for a maximum of y(t)?

RGV