Projectile motion homerun question

AI Thread Summary
To find the velocity of a baseball hit 98 meters at a 45-degree angle, one can set up equations for both the x and y components of motion. The height of the ball at its peak is 49 meters, but the total time of flight must account for both ascent and descent, effectively doubling the time calculated for falling. Using the relationship that sin(45) equals cos(45) can simplify calculations. The discussion emphasizes the importance of considering the entire trajectory rather than just the descent. Understanding these principles is crucial for accurately determining the ball's initial velocity.
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all the problem gives me is: a batter hits a ball 98 meters for a homerun and he hit it at a 45 degree angle. what is the velocity of the ball off of the bat? assume the fence is at the same height as the balll.


how do i get the velocity of this thing? I tried getting the height which would be 49 meters and then figuring the time i would take to fall 49 meters, but I don't think that is right. any ideas?
 
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Try setting up a system of equations, one with respect to the y-component, and one to the x. A little hint: use the fact that sin(45) = cos(45).

Hope that helps! :)
 
IGeekbot said:
all the problem gives me is: a batter hits a ball 98 meters for a homerun and he hit it at a 45 degree angle. what is the velocity of the ball off of the bat? assume the fence is at the same height as the balll.


how do i get the velocity of this thing? I tried getting the height which would be 49 meters and then figuring the time i would take to fall 49 meters, but I don't think that is right. any ideas?

You're pretty close to being right. Except you also need to take into account the time it took to get up to 49 meters. In other words, multiply your time by two.
 
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