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## Homework Statement

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

^{2}[down]. Determine how high Marian's balcony is and how fast the flowerpot was moving just before it smashed to the ground.

2. Homework Equations

2. Homework Equations

d= v

_{1}Δt+ ½ a Δt

^{2}

v

_{2}

^{2}= v

_{1}

^{2}+ 2 aΔd

## The Attempt at a Solution

Given:

V

_{1}= 2.1 m/s (up)

a = 9.81 m/s

^{2}(down)

t= 3.0 s

Determine how high Marians balcony is:

Δd= v

_{1}Δ t+ ½ a Δt

^{2}

d= (2.1 m/s) (3.0s) - ½ (9.81 m/s

^{2}) (3.0s)

^{2}

= -37.8 m

Δd = 38 m

Marian’s balcony is 38 m high.

Calculate how fast the flowerpot was moving before it smashed to the ground:

v

_{2}

^{2}= v

_{1}

^{2}+ 2 aΔd

v

_{2}

^{2}= (2.1 m/s)

^{2}+ 2 (9.81 m/s

^{2}) (38 m)

v

_{2}

^{2}= √750

v

_{2}

^{2}= 27 m/s (down)

The flowerpot was traveling 27 m/s (down) before it smashed to the ground.

Is this correct?