Please help its due tommorow

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.

Answer 1

s(t) =16t^2 + vot

100 = s(.8) = 16(.8)^2 + vo(.8) = 16(.64) + vo(.8)

vo = (100-10.24)/.8 = 89.76/.8 = 112.2

only with an initial velocity of 112.2 feet/sec could you go 100 feet in .8 seconds 112 ft/sec = about 76 mph which seems unusually large for a sky dive jump unless there's some major downwind, maybe a jet stream.

500= s(3.1) = 16(3.1)^2 + 112.2(3.1) = 153.8+ 348 =502

187.5 = s(1.5) = 16(1.5)^2 + 112.2(1.5)= 36 + 168= 204

It's reasonably close. changing wind currents could add to the effects of gravity

3.1 is within 1.6 of 1.5

1.5 is within .7 of .8,

100 is within 100 of 200

500 is within 300 of 200

You would expect the distance after 1.5 seconds to be closer to the distance after .8 seconds 200 is closer to 100 than to 500.