# Function word problem

• Dec 16th 2009, 03:13 PM
wafflemypanda
Function word problem
Hi, i have this word problem that i need to solve, however i'm not really sure how to start it...
Help would be much appreciated.

Problem:
A person standing close to the edge of a 200 foot tall builfing throws a baseball upward, such that its height above the ground in feet, s(t), after t seconds, is given by s(t)=-16t^2+64t+200
a) How long will it take for the ball to hit the ground?
b) When will the ball reach its maximum height?
c) What is the max height the ball reaches?q
• Dec 16th 2009, 03:29 PM
skeeter
Quote:

Originally Posted by wafflemypanda
Hi, i have this word problem that i need to solve, however i'm not really sure how to start it...
Help would be much appreciated.

Problem:
A person standing close to the edge of a 200 foot tall builfing throws a baseball upward, such that its height above the ground in feet, s(t), after t seconds, is given by s(t)=-16t^2+64t+200

a) How long will it take for the ball to hit the ground?

set s(t) = 0 and solve for t

b) When will the ball reach its maximum height?

find the vertex of the graph of s(t) ... t = -b/(2a)

c) What is the max height the ball reaches?

evaluate s(t) for the time found in part (b)

...