Determine original velocity (kinematics)

AI Thread Summary
To determine the original velocity of a ball hit at a 3-degree angle that reaches a height of 0.330m, the equations d=Vot + 1/2at^2 and Vf=Vo+at are relevant. The vertical component of the initial velocity can be expressed as Voy = Vosin(3 degrees), while the horizontal component is Vox = Vocos(3 degrees). To find the time to reach maximum height, the relationship h(max) = Vy = 0 can be used, leading to the equation Voy = -at. Another approach involves using a kinematic formula that relates distance and velocity for accelerated motion. Ultimately, combining these equations will yield the original velocity of the ball when it left the racket.
Josh930
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Homework Statement



if a ball hit by a racket at an angle of 3 degrees reaches a height of .330m at its trajectory, how fast was the ball moving when it left the racket?

Homework Equations



d=Vot + 1/2at^2
Vf=Vo+at



The Attempt at a Solution



Vox = Vocos(3dgres)
Voy = Vosin(3dgres)

h(max)= Vy=0

so Voy= -at?

i think i have to find the time it takes to reach the max height, then I am lost... please help
 
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Josh930 said:
so Voy= -at?
Sure. Now combine that with your first equation (d=Vot + 1/2at^2) and you can solve for the time it takes to reach max height.

That's not the only way to go. You can also invoke another kinematic formula that directly relates distance and velocity for accelerated motion.
 

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