Question $1.$ In $2012,$ Felix Baumgartner jumped out of a helium balloon about $39$ kilometers above the

ground, spending a bit over $4$ minutes in free fall before parachuting safely to the ground about $9$ minutes

after jumping. You can see more about this jump here. The following table summarizes Felix$$s altitude

over time.

Time $($min$)0123456789$

Height $($km$)3923137321\mathrm{.}510\mathrm{.}50$

a$)$ Graph these points and draw a smooth curve going through them. It$$s important that you do a

good job scaling this graph.

b$)$ What was Felix$$s average velocity during the first minute of his fall? Be sure to include units.

Include this as a secant line on the graph from part a$).$

c$)$ From t $=5$ to t $=9$ minutes, Felix was descending via parachute. How quickly was he parachuting

to the ground? Include this as a secant line on the graph from part a$).$

d$)$ Estimate Felix$$s descent speed three minutes after he jumped. There are a number of ways to do

this; just be clear as to which method you are using and show work. Include this as a tangent line

on the graph from part a$).$Question $1.$ In $2012,$ Felix Baumgartner jumped out of a helium balloon about $39$ kilometers above the ground,

spending a bit over $4$ minutes in free fall before parachuting safely to the ground about $9$ minutes after

jumping. You can see more about this jump here. The following table summarizes Felix's altitude over time.

a$)$ Graph these points and draw a smooth curve going through them. It's important that you do a good job

scaling this graph. $1.$ What was Felix's average velocity during the first minute of his fall? Be sure to include

units. Include this as a secant line on the graph from part a$)2.$From $t=5$ to $t=9$ minutes, Felix was

descending via parachute. $3.$ How quickly was he parachuting to the ground? Include this as a secant line

on the graph from part a$)\mathrm{.}4.$Estimate Felix's descent speed three minutes after he jumped. There are a

number of ways to do this; just be clear as to which method you are using and show work. Include this as

a tangent line on the graph from part a$).$