Suppose that an object is thrown into the air with an initial upward velocity of Vo meters per second from a height of ho meters above the ground.
Then, t seconds later, its height (h(t) meters above the ground is modeled by the function h(t) = -4.9t^2 + Vot + ho.
The Attempt at a Solution
a) Find its height above the ground t seconds later.
I got h(t) = -4.9t^2 + 14t + 30, and I checked the back of the book and it is correct.
b) When will the stone reach its highest elevation?
I tried a lot of things like plugging in various h's and t's, and using the quadratic formula, but I did not have much success.
c) When will the stone hit the ground?
Same as b), I wasn't sure where to start, but I made some educated guesses, however they proved wrong.
NOTE: I have all of the correct answers. I am not asking for anyone to do my homework for me or give me the answers. I would just like to be guided in the right direction so I will never have to ask for help on these types of problems again. I have worked for 20 minutes straight on this problem, and I know for a fact it shouldn't take that long.
Thank you for your time.