# math

posted by
**kaki**
.

A skydiver jumps from his aircraft and falls towards earth. Due to the earth’s gravitational attraction, the sky diver will accelerate for a duration of 5.65 secs, at which time he reaches terminal velocity, that is a constant falling velocity of 181 ft./sec due to atmospheric resistance. Assuming he reaches this terminal velocity at a height of 10000 ft,

i Specify an equation in point slope form which yields the sky diver’s height as a function of time (seconds)..

ii Convert the equation into slope intercept form and plot the equation, height as a function of time.

iii At what point in time will the sky diver fall to a height of 1000 ft? How do we make that determination?