SOLUTION: b. Suppose a scientist on Earth throws a baseball upward. The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long doe

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: b. Suppose a scientist on Earth throws a baseball upward. The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long doe      Log On


   

Question 473894: b. Suppose a scientist on Earth throws a baseball upward. The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second. How long does it take for the ball to hit the ground (H=0)? (Use the quadratic formula to solve this problem, show all work). Write a statement to interpret your results.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose a scientist on Earth throws a baseball upward.
The scientist lets go of the ball 2 meters above the ground with an initial velocity of 10 meters per second.
How long does it take for the ball to hit the ground (H=0)?
(Use the quadratic formula to solve this problem, show all work).
Write a statement to interpret your results.
:
h = -4.9x^2 + 10x + 2
where
h = height above ground
-4.9x^2 = the downward force of gravity
10x = upward velocity of the ball
2 = dist above ground when ball is thrown
:
-4.9x^2 + 10x + 2 = 0
the quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=-4.9, b=10, c=2
x+=+%28-10+%2B-+sqrt%2810%5E2-4%2A-4.9%2A2+%29%29%2F%282%2A-4.9%29+
you can do the math here, you should get a positive solution of:
x = 2.224 seconds