Change in Magnitude of Acceleration

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SUMMARY

The discussion centers on the magnitude of acceleration of a ball launched at a 37-degree angle from a building. The vertical component of acceleration is consistently -9.8 meters per second squared, while the horizontal component maintains a constant acceleration of zero. The conclusion drawn is that, neglecting air resistance, the magnitude of acceleration remains constant throughout the ball's trajectory. If air resistance is considered, the analysis becomes significantly more complex.

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  • Understanding of projectile motion principles
  • Familiarity with Newton's laws of motion
  • Knowledge of acceleration and its components
  • Basic grasp of the effects of air resistance on motion
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wpan
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Homework Statement


A ball is launched at an angle of 37 degrees from the roof of a building on Earth and falls to the ground. Describe the magnitude of acceleration as the ball travels.


Homework Equations


Acceleration is equal to change in velocity over change in time.


The Attempt at a Solution


I thought that the motion of the ball can be split into two components, the vertical and horizontal velocities. The x component has a constant acceleration of zero. The y component has a constant acceleration of -9.8 meters per second squared (i am not sure of this part). From this i concluded that the magnitude of acceleration does not change, but i am not really sure.
 
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wpan said:
I thought that the motion of the ball can be split into two components, the vertical and horizontal velocities. The x component has a constant acceleration of zero. The y component has a constant acceleration of -9.8 meters per second squared (i am not sure of this part). From this i concluded that the magnitude of acceleration does not change, but i am not really sure.
Hi wpan, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

That sounds right, providing air resistance can be neglected. (And that it doesn't go waayyyyyy up in the sky so that g varies.)
 
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wpan said:

Homework Statement


A ball is launched at an angle of 37 degrees from the roof of a building on Earth and falls to the ground. Describe the magnitude of acceleration as the ball travels.

Homework Equations


Acceleration is equal to change in velocity over change in time.

The Attempt at a Solution


I thought that the motion of the ball can be split into two components, the vertical and horizontal velocities. The x component has a constant acceleration of zero. The y component has a constant acceleration of -9.8 meters per second squared (i am not sure of this part). From this i concluded that the magnitude of acceleration does not change, but i am not really sure.
Hello wpan. Welcome to PF !

Your answer is correct, if you are ignoring the effect of air resistance. Not only is the magnitude of the acceleration constant, but so is the acceleration vector.

If you include the effect of air resistance, then the answer is much more complicated.
 

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