Projectile Motion: Solve Time & Speed of Rock Leaving Bill's Foot

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SUMMARY

The discussion focuses on solving a projectile motion problem where a rock is kicked horizontally from a height of 16 meters and travels 14 meters horizontally before hitting a window. The acceleration due to gravity is specified as 9.8 m/s². The key equations used include the vertical motion equation (delta y = v0t - 1/2gt²) to determine the time the rock is in the air and the horizontal motion principles to calculate the initial velocity. The solution requires understanding the relationship between vertical and horizontal components of motion.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of horizontal and vertical motion components
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of kinematic equations for projectile motion
  • Learn how to apply the concept of initial velocity in horizontal motion
  • Explore the effects of gravity on vertical motion in detail
  • Practice solving similar projectile motion problems with varying parameters
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This discussion is beneficial for physics students, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and its applications in real-world scenarios.

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Projectile HELP!

Homework Statement


NOTE: IN THIS QUESTION, BILL KICKS
THE ROCKS HORIZONTALLY.
Bill kicks a rock off the top of his apartment
building. It strikes a window across the street
14 m away.
The acceleration of gravity is 9.8 m/s
2
.
If the window is 16 m below the position
where Bill contacted the rock, how long was
it in the air?
Answer in units of s.
How fast was it moving when it left Bill’s
foot?
Answer in units of m/s.

Homework Equations





The Attempt at a Solution

 
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(delta)y = v0t - 1/2gt^2just plug in the numbers
 


>>just plug in the numbers

but that's not how you understand the physics of the problem.

Think about the question at hand and try to figure what is actually going on.

[PLAIN]http://img237.imageshack.us/img237/641/blockfc.png

V initial has only a horizontal component which equals its total magnitude.

Your knowns:

1) The final height
2) The total distance traveled
3) And Gravity

Know you must solve for time, which equation let's you solve for t by only knowing position and acceleration?

Know you must solve for V initial, what equation do you think you should use for this? (The derivative of position is velocity)
 
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