Physics

1)A student at a window on the second floor of a high school building sees his math teacher coming along a walkway besides the building. He drops a water balloon from 18.0 m above the ground when it the teacher is 1.00 m from the point directly beneath the window. If the teacher is 170 cm tall and walks at a rate of 0.45 m/s, does the balloon hit his head? Does it him at all?
thank you very much


The teacher's head is H = 18.0 - 1.7 = 16.3 m below the window from which the water balloon is dropped. The time required to fall that distance is
t = sqrt(2H/g) = 1.82 s.
The teacher moves horizontally
t*0.45 m/s = 0.82 m in that time. If he was 1.0 m behind the impact point when it was dropped, he will be 0.18 m behind the impact point when the water balloon reaches the height of his head.

That's pretty close. You need to consider the finite size of the water balloon and the person before deciding on an answer. The teacher will have moved even closer to the balloon before it hits the ground.

I would say the water balloon would barely miss his head but probably hit his forward-extended leg before it hits the ground.

  1. 👍 0
  2. 👎 0
  3. 👁 109

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A man on the 8th floor of a building sees a bucket (dropped by a window washer) pass his window and notes that it hits the ground 1.5s later. Assuming a floor is 12ft high (and neglecting air friction), from which floor was the

    asked by Molly on October 7, 2013
  2. Physics

    A student sees a flowerpot pass his 2m high window on the fourth floor in 0.093 seconds. The distance between floors is 4.0m. From which floor did the pot fall?

    asked by Kris on September 20, 2010
  3. Math

    A man standing on a window of the first floor of a building observed that the angle of depression of forest in which is 10 metre from the photo of the building is 45° claims to the window of the second floor directory above the

    asked by Shyam singh on December 19, 2016
  4. Math

    Sam wants to find the height of a window in a nearby building but it is a cloudy day with no shadows. Sam puts a mirror on the ground between himself and the building. He tilts it toward him so that when he is standing up, he sees

    asked by Jiska on January 28, 2016
  5. Math

    Sam wants to find the height of a window in a nearby building but it is cloudy. Sam puts a mirror on the ground between himself and the building. He tilts it toward him so that when he is standing up he sees the reflection of the

    asked by Ashley on March 10, 2016
  6. physics

    In the figure below, a student at a window on the second floor of a dorm sees his math professor walking on the sidewalk beside the building. He drops a water balloon from 18.0 m above the ground when the prof is 1.00 m from the

    asked by Anonymous on September 14, 2011
  7. physics

    In the figure below, a student at a window on the second floor of a dorm sees his math professor walking on the sidewalk beside the building. He drops a water balloon from 18.0 m above the ground when the prof is 1.00 m from the

    asked by Anonymous on September 14, 2011
  8. University Physics

    Building A and Building B are 30m away from each other, on the 4th floor; 35m high, someone has set up a slingshot from the window on the 4th floor of building A and is trying to sling a balloon into the window directly across

    asked by Britt on March 5, 2012
  9. Math

    Sam wants to find the height of a window in a nearby building but it is a cloudy day. Sam puts a mirror on the ground between himself and the building. He tilts it so that when he is standing up he sees the reflection of the

    asked by Ashley on March 10, 2016
  10. physics

    an object is dropped from the window of an apartment in a high rise building reaches the ground in 3 seconds. on which floor the apartment is located if height of each floor is 4m and window is 1 meter above the ground of that

    asked by fatimah on May 30, 2014

More Similar Questions