# Physics

posted by Brittany

A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was initially launched from an elevation of 4 feet above ground. The distance from home plate to the outfield wall is 408 feet at center field. The height of the outfield wall is approximately 8 feet (It varies slightly across the outfield). You should first draw a two-dimensional picture of the baseball’s trajectory (x, y coordinate system) to assist in developing answers to the questions below. Note: Convert all variables to the metric (mks) system before performing your calculations.
b)What is the maximum height reached by the ball?
c)What is the total time of flight?

1. bobpursley

a. yours, including conversions.
b. max height is when vy is zero
vy=vyi-g*t
vyi=initial velociyt* sin4
vy=zero, solve for time t.
then
hmax=vyi*t-4.9t^2
c. time of flight
hf=hi+viy*t-4.9t^2
hf=8ft converted to m
hi=half that in m.

folve for time t.

2. bobpursley

oops, angle is 35, so sin35.

3. Brittany

Thank you for the equation listed above! I am trying to solve it but I believe I am not doing a great job on it. Would you go step by step with me please? I'd appreciate it!

4. bobpursley

post it step by step, I will check it.

5. Brittany

The equation I start off with is vy=vyi-g*t?

So it would be 0=4*sin35?

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