plz help with this problem?

Question

wt will be the acceleration of a skydiver when air resistance is one fourth the weight of the skydiver?

Answer 1

This is instantaneous since the relationship of air resistance is not related to velocity. In the practical case, the skydiver will reach a terminal velocity which is when their weight balances the air resistance.

For this question:

F=m*a

Consider a free body diagram of the diver.

The forces are gravity = m*g
and air resistance -m*g/4
I set this negative to note that downward direction is positive.

The sum of forces must balance so:
F=m*a=m*g-m*g/4
a=3*g/4

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