A skydiver of mass 80.0 kg jumps from a slow-moving aircraft and reaches a terminal speed of 50.0 m/s. (a) What is her acceleration when her speed is 30.0 m/s? What is the drag force on the skydiver when her speed is

6.3 m/s²

Explanation:

m = mass of the skydiver = 80.0 kg

k = constant

v = speed at any time

a = acceleration

W = weight = mg = 80 x 9.8 = 784 N

Force equation for the motion of skydiver is given as

W - k v² = ma

at v = 50 m/s, a = 0

784 - k (50) ² = (80) (0)

k = 0.3136

At v = 30 m/s, equation can be written as

W - k v² = ma

784 - (0.3136) (30) ² = 80 a

a = 6.3 m/s²