A ball is thrown vertically upward with an initial velocity of 5 ft/sec from a height of 20 feet. Which function models its motion?

i literally am lost and have no idea how to this problem. if i could have help with the steps on how to do the problem and to get the correct answer that'd be great. I have a few more problems like this one and want to learn how to do them with good steps.

1 answer

better check your text some more. With initial height h and initial velocity v, the height y at time t is

y(t) = h + vt - 16t^2
So, you have

y(t) = 20 + 5t - 16t^2

When working problems, don't forget what you know about parabolas -- their roots, vertex, etc.