SOLUTION: A baseball is hit off atee 2ft tall with a velosity of 3ft per sec. use h=-16t+vt+s to determine the time it well take to hit the ground

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Question 121004: A baseball is hit off atee 2ft tall with a velosity of 3ft per sec. use h=-16t+vt+s to determine the time it well take to hit the ground
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A baseball is hit off atee 2ft tall with a velocity of 3 ft per sec. use h=-16t+vt+s to determine the time it well take to hit the ground
:
That's a mighty slow baseball, 3ft/sec!!
Anyway
In our problem v = 3; s = 2, the ground (h) is 0, so we have:
:
-16t^2 + 3t + 2 = 0
:
Solve this using the quadratic formula a = -16; b = 3; c = 2:
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
t+=+%28-3+%2B-+sqrt%283%5E2+-+4%2A+-16+%2A+2+%29%29%2F%282%2A-16%29+
:
t+=+%28-3+%2B-+sqrt%289+-+%28-128%29+%29%29%2F%28-32%29+
:
t+=+%28-3+%2B-+sqrt%289+%2B+128+%29%29%2F%28-32%29+; minus a minus is a plus
:
t+=+%28-3+%2B-+sqrt%28137+%29%29%2F%28-32%29+
:
t+=+%28-3+-+11.7%29%2F%28-32%29+; we only need the positive solution here
:
t+=+%28-14.7%29%2F%28-32%29
t = .459 sec or less than half a second
:
:
YOu can check this by substituting .459 for t in the original equation