# Math

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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.

• Math -

h = ho + Vi t -(g/2)t^2 assume g = 9.8m/s^2

0 = 2 + 10 t -4.9 t^2

4.9 t^2 - 10 t - 2 = 0

t = [10 +/-sqrt(100+39.2)]/9.8
t = [ 10 +/-11.8 ]/ 9.8
(negative result is before you threw it)
t = 2.22 seconds

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