SOLUTION: Please help me solve the following word problem (note: this problem came straight from a worksheet): An object is dropped from an initial height of s feet. The object's height a

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Question 153687: Please help me solve the following word problem (note: this problem came straight from a worksheet):
An object is dropped from an initial height of s feet. The object's height at any time t, in seconds, is given by h= -16t^2 + s. How long does it take for an object dropped from 300 feet to hit the ground? Round your result to two decimal places.

Found 2 solutions by scott8148, josmiceli:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
hitting the ground means that h=0

s is given to be 300

so, solve for t __ 0=-16t^2+300

dividing by -4 __ 0=4t^2-75 __ use quadratic formula to find t



t=4.33 sec (approx)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You're looking for the time when h=0 (when it has hit the ground)
-16t%5E2+%2B+s+=+0
-16t%5E2+%2B+300+=+0
-16t%5E2+=+-300
t%5E2+=+18.75
t+=+4.33sec