Determine original velocity (kinematics)

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SUMMARY

The discussion focuses on calculating the initial velocity of a ball hit at a 3-degree angle, reaching a maximum height of 0.330 meters. Participants utilize kinematic equations, specifically d = Vot + 1/2at² and Vf = Vo + at, to derive the solution. The conversation emphasizes the importance of determining the time to reach maximum height and suggests using alternative kinematic formulas that relate distance and velocity directly. The key takeaway is the application of these equations to solve for the initial velocity (Vo) effectively.

PREREQUISITES
  • Understanding of basic kinematics principles
  • Familiarity with projectile motion equations
  • Knowledge of trigonometric functions (sine and cosine)
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation and application of the kinematic equation d = Vot + 1/2at²
  • Learn how to apply trigonometric functions in projectile motion problems
  • Explore the concept of maximum height in projectile motion
  • Investigate alternative kinematic formulas for accelerated motion
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to enhance their teaching methods in these topics.

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=volt + 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=volt + 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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