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Problem 2.50 Roger sees water balloons fall past his window. He notices that eac

ID: 1355913 • Letter: P

Question

Problem 2.50

Roger sees water balloons fall past his window. He notices that each balloon strikes the sidewalk 0.45 s after passing his window. Roger's room is on the second floor, 10 m above the sidewalk.

Part A

How fast are the balloons traveling when they pass Roger's window?

Express your answer to three significant figures and include the appropriate units.

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Part B

Assuming the balloons are being released from rest, from what floor are they being released? Each floor of the dorm is 5.0 m high.

Express your answer as an integer.

v =

Explanation / Answer

let the velocity at the window be u

time to reasch the sidewalk = 0.45 s

distance (s) = 10m

we know, the kinematic equation ,

S= ut + 0.5gt2

=> 10 = u*0.45+ 0.5* 9.8 * (0.45)2

=>9.00775/0.45 =u

=> u =20.017m/s

b) now let the final velocity be 20.017 m/s

initial be 0m/s

we use ,

V2-U2= 2gS

=>(20.017 )2 - (0)2 = 2* 9.8 * S

=>S= 20.443 m

so, total height= 20.44 + 10 = 30m

so the no. of floors = 30/5 = 6

so, the baloons are released from 6th floor

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