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Initial velocity 
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#1
Sep2213, 08:44 PM

P: 1

1. The problem statement, all variables and given/known data
According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy “Dizzy” Carlyle in a minor league game. The ball traveled 188 m (618 ft ) before landing on the ground outside the ballpark. Assuming the ball's initial velocity was 52 ∘ above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9 m (3.0 ft ) above ground level? Assume that the ground was perfectly flat. 2. Relevant equations ΔX=V_{i}cos(θ)T ΔY=V_{i}sin(θ)T+.5aT^{2} V_{x}=V_{i}cos(θ)T V_{y}=V_{i}sin(θ)+aT 3. The attempt at a solution I know the final velocity in the Y direction will be zero and the final position in the Y direction will also be zero. If I could solve for how long the baseball is in the air I could use the second equation I listed and solve for the initial velocity since the accelration is equal to 9.8m/s^{2}. I'm not completely sure of how to go about solving this problem and I feel like there's something I'm over looking. Any suggestions? 


#2
Sep2213, 09:25 PM

Homework
Sci Advisor
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P: 12,463

You have to use more than one equation. Start by listing everything you know and see if you can combine two equations. Careful: does your equation list account for the projectile (ball) starting higher than were it ends up.
I, personally, solve these questions using vt graphs. 


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