Solve the Problem. -When an Object Falling from Rest Encounters Air Resistance Proportional

Multiple Choice

Solve the problem.
-When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by where m is the mass of the object in kilograms, g = 9.8 m/s² is the acceleration due to gravity, and k is a physical constant. A BASE jumper (m = 76kg) leaps from a tall cliff and performs a ten-second delay (she free falls for 10 s and then opens her chute) . How far does she fall in 10 s? Assume k = 0.2 Round the answer to one decimal place if necessary.

A) 14.5 m
B) 331.2 m
C) 361.9 m
D) 72.4 m