Question 473894
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 = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=-4.9, b=10, c=2
{{{x = (-10 +- sqrt(10^2-4*-4.9*2 ))/(2*-4.9) }}}
you can do the math here, you should get a positive solution of:
x = 2.224 seconds