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A cannonball is fired on flat ground at 420 m/s at a 53.0 degree angle. What maximum height does it reach?
X: 420cos53.0 = 252

 

Y: 420sin53.0 = 335 

 

X

Vi=252

a=0 (because gravity is only along the Y axis)

 

Y

Vi=335

a=(-9.80) (because of gravity)

Vf=0 (because when at the highest point, there is no Y velocity)

 

Use Y numbers to figure the maximum height.

 

The way I've tried is with the equation Vf^2=Vi^2+2a(deltaY), which when rearranged to get deltaY (which is what we're looking for) is -Vi^2/2a = (deltaY) but it gives me an outrageous number that is incorrect.

Do I need to find time in order to find the answer to this question or what? I'm confused. Please help me to solve this.

 Nov 6, 2016
 #1
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You are using the correct formula! If the result is outrageous it can only be that the input values you are using are outrageous!

 Nov 7, 2016
 #2
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I should add that the formula is correct if resistance due to air drag is ignored.  For cannonballs at this speed that is almost certainly not a good assumption!

Alan  Nov 7, 2016
 #3
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@Alan 

My class has yet to get into problems involving air drag and such. The equation is correct, or so you said, so that one has solved itself. I still don't understand what would be wrong in the values. 

 Nov 7, 2016

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