A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v0 = 52.8 ms-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that Fd = kv2 where k = 13.7 kg/m. Calculate the time it takes in seconds for the velocity to reach half the initial velocity. What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?

A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v0 = 52.8 ms-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that Fd = kv2 where k = 13.7 kg/m. Calculate the time it takes in seconds for the velocity to reach half the initial velocity. What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.3: Relative Velocity

Problem 27PP

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A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v₀ = 52.8 ms^-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that F_d = kv² where k = 13.7 kg/m.

Calculate the time it takes in seconds for the velocity to reach half the initial velocity.

What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?

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