Question

57. Three parachutists, A, B, and C, each have reached termi- nal velocity at the same distance above the ground below. A 50 kg BA,40 kg c 75kg a. From fastest to slowest, rank their terminal velocities. b. From longest to shortest, rank their times to reach the round.

please explain step by step how you got the answer.

Answer 1

Part A.

Terminal Velocity is given by:

v = sqrt (2W/(Cd*rho*A))

W = Weight of object

Cd = Drag Coefficient

rho = density of air

A = projected area of the object

In above equation, Since Cd, rho & A are constant, So terminal velocity is directly proportional to the Weight of object.

In given scenario

Wc > Wa > Wb

So, rank of terminal velocity will be

Vc > Va > Vb

Part B.

Velocity = distance/time

V = d/t

Since all parachutists have reached at terminal velocity at same height, So d is constant which means terminal velocity is inversely proportional to the time taken.

Since

Vc > Va > Vb

So time taken reach the ground will be

tb > ta > tc

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