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Acceleration problem

  • #1
1,235
1
A person is on the roof of a building, 46.0 m above the ground. His teacher, who is 1.80 meters tall, is walking toward the building at a constant speed of 1.20 m/s. If the person wishes to drop the egg on his teacher's head, where should the teacher be when the person releases the egg?

So I know that I need to set two equations equal to each other to get the position the teacher needs to be for the egg to drop on him. So should I use [itex] x = v_{y}_{0}t + \frac{1}{2} a_{x}t^{2} [/itex] for the egg, and [itex] x = x_{0} + v_{x}_{0}t + \frac{1}{2} a_{x}t^{2} [/itex]?

Thanks
 

Answers and Replies

  • #2
Fermat
Homework Helper
872
1
How far does the egg have to fall before impacting on the head of the 1.8 m tall teacher ?
How long will it take for the egg to fall this distance ?
How far can teacher walk in this time ?
 
  • #3
1,235
1
Thanks. I got the answer.

1. [itex] 46 - 1.8 = 44.2 m [/itex]
2. [itex] 44.2 = \frac{1}{2} (9.8) t^{2}, t = 3 [/itex]
3. [itex] x = 0 + 1.20(3) = 3.6 m [/itex]
 

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