Kinematics and free falling objects

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SUMMARY

The discussion focuses on a physics problem involving kinematics and free-falling objects. A ball is dropped from height H, while another ball is released from the ground, and both meet at height H/2. The initial velocity of the dropped ball is 0, and the distance to H/2 is calculated using the equation of motion, specifically s = 0.5at². To solve for the initial velocity of the second ball, one must equate the time taken for both balls to reach H/2, allowing for the calculation of the second ball's velocity using the derived time.

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of free fall and gravitational acceleration
  • Ability to solve quadratic equations
  • Familiarity with the concept of relative motion
NEXT STEPS
  • Study the kinematic equation s = ut + 0.5at² in detail
  • Learn how to derive equations of motion for free-falling objects
  • Explore the concept of relative velocity in physics
  • Practice solving problems involving multiple objects in motion
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Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of motion and free fall.

lemurs
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alright got a question for my homework and am stuck on it...

here it is. If a ball is dropped from hieght H above ground and at the same instance, a ball is released from ground vertically. Determine the speeed of the second ball if the two balls are to meet at hieght of H/2 above ground.

with that info i am stuck I know that Intial velocity of the ball dropped =0 and that to calculate it disatance h/2 will use .5at^2.

but how to equate that to the second ball I am stuck.:confused:

help would be apprieciated
 
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Write the equation of motion for the 1st ball, showing its position as a function of time -- its motion is set, with no unknown variables. Solve for the time when the falling ball is at H/2.

Then write the equation of motion of the 2nd ball, showing its position as a function of time, with the initial velocity as the unknown. Then solve for Vo, given that you know what time t is for it to make it to H/2.
 

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