1) The walkway leading to Everglades Hall is splattered with raw eggs. The mess

Question

1) The walkway leading to Everglades Hall is splattered with raw eggs. The mess is about a distance of 58 m away from the building. You suspect fellow dorm residents to be responsible for this. Assuming a horizontal throw and a throwing speed of 70 mph you try to identify the floor from which the eggs have been thrown.

From what height have the eggs been thrown?

2) A roach that runs for its life because you try to hit it with your physics book runs off the horizontal tabletop with a speed of 0.539 m/s. It strikes the floor a horizontal distance 0.221 m away from the edge of the table. Ignore air resistance.
Find the height of the table?

Explanation / Answer

1)

1 mph = 0.45 m/s

along horizantal

initial horizantal velocity vx = 70 mph = 31.5 m/s

displacement = x = 58 m

time taken = t = x/vx = 58/31.5 = 1.84 s

along vertical

intial vertical velocity = voy = 0

vertical displacement = y = -h

h = height from which the egg was thrown

acceleration ay = -g = -9.8 m/s^2

y = voy*t + 0.5*ay*t^2

-h = 0 - 0.5*9.8*1.84^2

h = 16.6 m <<------answer

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2)

along horizantal

initial horizantal velocity vx = 0.539 m/s

displacement = x = 0.221 m

time taken = t = x/vx = 0.221/0.539 = 0.41 s

along vertical

intial vertical velocity = voy = 0

vertical displacement = y = -h

h = height from which the roach flied

acceleration ay = -g = -9.8 m/s^2

y = voy*t + 0.5*ay*t^2

-h = 0 - 0.5*9.8*0.41^2

h = 0.823 m <<------answer

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