Too long but its here vvvvvv

Question

A skydiver jumps out of an airplane. After
0.8 second, she has fallen 100 feet. After 3.1 seconds, she has fallen
500 feet. Emtiaz says that the skydiver should fall about 187.5 feet in
1.5 seconds. Is his answer reasonable? Explain.

Help its due in like 10 - 20 minutes

Answer 1

It does not look reasonable as a constant proportion situation. In a vacuum any object will fall at 32Ft/second squared.
Theoretical with no air drag
So .8 seconds = 32ft * .8^2seconds= 32ft * .64seconds =20ft
In 1.5 seconds =32* (1.5)^2= 32/ft/ second *.25seconds= 72
In 3.1 seconds = 32 * (3.1)^2= 32ft/ second * 9.61 seconds= 307.52 Ft.
Observed                                                                  Theoretical
Time             Distance              Rate                            Time        Distance         Rate
.8                    100                125 ft/s                         .8              20               25 ft/S
1.5                  187.5              125 ft/s                        1.5             72              48 ft/S
3.1                  500                 161. Ft/S                      3.1            307              99 ft/s

The observed seems to indicate that the object is picking up additional speed as time goes on. This would indicate acceleration due to time. This is not a direct proportion problem.

 

The sky diver is moving faster that expected and we have not accounted for air drag.