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?
For a) I believe I"m using ##\vec d = v_1 \Delta t + \frac 1 2 \vec a \Delta t^2##
for b) ##\vec v_2 = \vec v_1 + \vec a \Delta t##
The Attempt at a Solution
a) ##\vec d = (2.1 m/s) (3.0s) + \frac 1 2 (-9.81 m/s^2 [down]) (3)^2
\\ = 6.3 - 44.145
\\ = -37.84 [down]##
Balcony is 37.8 meters high
b) ## \vec v_2 = 2.1 + (-9.81 m/s^2 [down]) (3.0s)
\\ = -27.33 m/s [down]##
Pot was falling at 27.3 m/s when it hit the ground.
Or if I'm correct with a) is it that I should just divide 37.8 by 3 to get 12.6?