I need help with Calculus

<p>We didn't learn how to do this problem with only this much info:</p>

<p>Find the smallest initial velocity required to throw a stone up to the top of a 49 ft-high silo (a=-32ft/sec)</p>

<p>And I can't do shadow problems, at all lol:
A ball is dropped from a height of 20 meters, 12m awayfrom the top of a 20m high lamppost. The ball's shadow, caused by the light at the top of the lamppost, is moving along the level ground. How fast is the shadow moving 1 second after the ball is released?</p>

<p>I can set up the diagram but beyond that, I can't figure it out. I just sit around and make proportions but none of them work :)</p>

<p>Thanks for your help!</p>

<p>you have to remember that acceleration is the second derivative.....so you have to integrate twice to get the position function, or once to get the velocity function.......</p>

<p>see if you can start the problem w/ that info....</p>