SOLUTION: I'm having a little trouble with this problem: Brent throws an object downward with initial velocity of -10 feet per second. The object travels a distance {{{ s = 16t^2-vt+h }}} ,

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Question 193236: I'm having a little trouble with this problem: Brent throws an object downward with initial velocity of -10 feet per second. The object travels a distance +s+=+16t%5E2-vt%2Bh+ ,where h = height in feet, v = initial velocity, s = initial height in feet, and t = time in seconds. If Brent is standing on a cliff 31.5 feet above the ground, in how many seconds will the object reach the ground?
Answer by Alan3354(69443) About Me  (Show Source):
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I'm having a little trouble with this problem: Brent throws an object downward with initial velocity of -10 feet per second. The object travels a distance +s+=+16t%5E2-vt%2Bh+ ,where h = height in feet, v = initial velocity, s = initial height in feet, and t = time in seconds. If Brent is standing on a cliff 31.5 feet above the ground, in how many seconds will the object reach the ground?
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s+=+-16t%5E2-vt%2Bh+ in general
s+=+-16t%5E2-10t%2B31.5+ for this situation
Set s = 0
16t%5E2%2B10t-31.5+=+0
t = 9/8 seconds = 1.125 seconds