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A batter hits the baseball 3 feet above the plate at an angle of 35° with an initial velocity of 118.25 ft/sec. The center field wall is 400 feet away and ten feet tall. The baseball clears the wall by how many inches?

 Jan 28, 2015

Best Answer 

 #1
avatar+128475 
+5

Let's first find out how long it takes to travel 400 ft....this is given by

400 = (118.25)cos(35)t  

t = about 4.13 sec

Let y = 0 be the original height....then we would be looking for how many inches it would clear a 7 ft wall

So we have

y = -16(4.13)^2 + 118.25sin(35)(4.13) = 7.2 ft....and this is the heightt in ft at 4.13 sec

So...it clears the all by about .2 ft = 2.4 inches

 

 Jan 28, 2015
 #1
avatar+128475 
+5
Best Answer

Let's first find out how long it takes to travel 400 ft....this is given by

400 = (118.25)cos(35)t  

t = about 4.13 sec

Let y = 0 be the original height....then we would be looking for how many inches it would clear a 7 ft wall

So we have

y = -16(4.13)^2 + 118.25sin(35)(4.13) = 7.2 ft....and this is the heightt in ft at 4.13 sec

So...it clears the all by about .2 ft = 2.4 inches

 

CPhill Jan 28, 2015

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