SOLUTION: A baseball player hits a ball. The ball leaves the bat with an initial upward velocity of 35 meters per second. If the ball is 1 meter off the ground when it leaves the bat, about

Algebra ->  Real-numbers -> SOLUTION: A baseball player hits a ball. The ball leaves the bat with an initial upward velocity of 35 meters per second. If the ball is 1 meter off the ground when it leaves the bat, about       Log On


   

Question 834615: A baseball player hits a ball. The ball leaves the bat with an initial upward velocity of 35 meters per second. If the ball is 1 meter off the ground when it leaves the bat, about how many seconds will it take for the ball to hit the ground?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%5B0%5D=1
v%5B0%5D=35
x%5B1%5D=0
a=-9.8
x=x0%2Bv0%2At%2B%281%2F2%29at%5E2
-4.9t%5E2%2B35t%2B1=0
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
t+=+%28-35+%2B-+sqrt%28+%2835%29%5E2-4%2A%28-4.9%29%2A1+%29%29%2F%282%2A%28-4.9%29%29+
t+=+%28-35+%2B-+sqrt%28+1225%2B19.6%29%29%2F%28-9.8%29+
t+=+%28-35+%2B-+sqrt%28+1244.6%29%29%2F%28-9.8%29+
Only positive time values make sense for this problem.
t+=+%28-35+-+sqrt%28+1244.6%29%29%2F%28-9.8%29+
t+=+%28-70.28%29%2F%28-9.8%29+
t+=+7.2+
7.2 seconds.