This is a picture of Michael kicking a ball straight up into the air. If we know that Michael kicks this ball with a velocity of 40 meters per second, we can figure out not only how long the ball is in the air, but how high it was at its highest point. Because the force of gravity is 10m/s, we know that the ball's velocity looses 10m/s each second. Therefore, to reach the top of it's path the ball must travel up in the air for 4 seconds. Then, since objects gain 10m/s each second when falling down, the ball will take 4 more seconds to return to Michaels foot. This concludes a total of 8 seconds. Then, using the distance formula (d=1/2gt(squared)) we can plug in 4 seconds, the point when it is the highest, to find out how high it went.
d=1/2gt(squared)
d=1/2(10)(8) squared
d=40 meters.
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