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A ball is thrown at 40o above the horizontal. The ball is in the air for 4 seconds before it hits. If it travels 38.6 meters before it hits the ground, what was the initial velocity of the ball?

 

What equaitions should I use to solve this?

 

Thanks!

 Sep 25, 2016
 #1
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The HORIZONTAL component of the initial velocity does not change (ignoring air friction or other outside forces).

The Horizontal component is given by

vo cos 40    where vo= original velocity

Wed are given that in FOUR seconds  it travels 38.6 meters    which is a horizotal component of 38.6/4 = 9.65 m/s

Now set these to quantities = to each other and solve for vo

vo cos 40 = 9.65

vo =  9.65 / (cos 40)  = 12.597 m/s

 Sep 25, 2016

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