SOLUTION: Marian, who is standing on her balcony, is surprised by a pigeon and throws a flowerpot up in the air at 2.1 m/s. It takes 3.0 s for the flowerpot to smash to the ground. The flowe

Question 1076627: Marian, who is standing on her balcony, is surprised by a pigeon and throws a flowerpot up in the air at 2.1 m/s. It takes 3.0 s for the flowerpot to smash to the ground. The flowerpot experiences acceleration due to gravity of 9.81 m/s [down].

a) How high is Marian�s balcony?

b) How fast was the flowerpot moving just before it smashed to the ground?

My Solutions:

a) displacement = 1/2 (acceleration x time^2) + (v1 x time)

displacement = 1/2 (9.81 m/s [down] x 9) + (2.1 x 3)

d = 1/2 (88.29) + 6.3

d = 44.145 + 6.3 = 50.445

so the balcony is approximately 50.5 meters tall

b) velocity = acceleration x time

Vf = (9.8 m/s^2 [down]) x 3.0 s
= 29.4 m/s

Feedback and corrections appreciated.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

When it hits the ground,

It takes sec to hit the ground, so

m
The balcony is 37.845 m high
------------------------------

The flowerpot was moving 12.6 m/sec in
the down direction just before it hit ground
-----------------------------------------
Here is the graph:

To check this I'll find

sec
and

m
This looks about right
Definitely get a 2nd opinion on this!

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