Question

An empty champagne bottle is tossed from a hot-air balloon. Its upwards velocity is measured every second and recorded in the table below:
t (sec) 0 1 2 3 4 5
v (ft/sec) 42 10 -22 -54 -86 -118
a) Find a formula for the velocity of the bottle as a function of the time since the bottle is tossed.
v=

b) For each feature of the graph listed below, match one of the statments A-G which best explains its practical meaning.

1. The t-intercept.

2. The v-intercept.

3. The slope

A. The maximum height the bottle reaches.
B. How much the bottle changes its position each second.
C. How long after tossing the bottle it starts to fall downwards.
D. How high the balloon is when the bottle is first tossed.
E. How much the velocity of the bottle decreases every second.
F. How long it takes for the bottle to hit the ground.
G. How fast the bottle is initially tossed upwards.

Answer 1

@ganeshie8

Answer 2

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