If a water balloon is thrown DOWNWARDS at a 38 degree angle (measured from the horizontal) at 5 m/s from the top of a 10 m building, how far from the base of the building will it hit (hint, first find how long will it take to hit the ground).

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter2: Representing Motion
Section: Chapter Questions
Problem 71A
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Please help on four part question

A) 

If a water balloon is thrown STRAIGHT UP at 12 m/s from the top of a 39 m building, how long will it take to hit the ground?

Note:

  • vyo is not equal to zero, so nothing cancels out in y = vyo t + 1/2 ay t2
  • SIGNS: vyo is up and ay is down and the rock falls down - opposite directions mean opposite signs. I'd call vyo positive, and both ay and y negative
  • you'll end up with a quadratic equation to solve
 
B) If a water balloon is thrown STRAIGHT DOWN at 5 m/s from the top of a 33 m building, how long will it take to hit the ground?

Note:

  • vyo is not equal to zero, so nothing cancels out in y = vyo t + 1/2 ay t2
  • SIGNS: vyo and ay and y are all down so all the signs are the same
  • you'll end up with a quadratic equation to solve

C)

If a water balloon is thrown UPWARDS at a 19 degree angle at 10 m/s from the top of a 21 m building, how far from the base of the building will it hit? (hint, first find how long will it take to hit the ground).

Note:

  • vyo is not equal to zero, so nothing cancels out in y = vyo t + 1/2 ay t2
  • SIGNS: vyo is UP and ay and y are both DOWN - fix the signs so that everything pointing up is one sign and everything down is the opposite sign
  • you'll end up with a quadratic equation to solve
D) If a water balloon is thrown DOWNWARDS at a 38 degree angle (measured from the horizontal) at 5 m/s from the top of a 10 m building, how far from the base of the building will it hit (hint, first find how long will it take to hit the ground).

Note:

  • vyo is not equal to zero, so nothing cancels out in y = vyo t + 1/2 ay t2
  • SIGNS: vyo and ay and y are all down so all the signs are the same
  • you'll end up with a quadratic equation to solve
 
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