A crew member from a helicopter descending at a constant speed v; drops a wrench at time t = 0. Determine the following.(a) the speed v of the dropped object in terms of v, g, and t|v| =(b) the vertical distance d between the object and the helicopter in terms of g and td =(c) the answers for parts (a) and (b) if the helicopter is rising steadily at the same speed (Use any variable or symbol stated above as necessary.)v =d =

Name: A crew member from a helicopter descending at a constant speed v; dro
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Description: A crew member from a helicopter descending at a constant speed v; drops a wrench at time t = 0. Determine the following.(a) the speed v of the dropped object in terms of v, g, and t|v| =(b) the vertical distance d between the object and the helicopt

Answered: A crew member from a helicopter…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A crew member from a helicopter descending at a constant speed v; drops a wrench at time t = 0. Determine the following.
(a) the speed v of the dropped object in terms of v, g, and t
|v| =
(b) the vertical distance d between the object and the helicopter in terms of g and t
d =
(c) the answers for parts (a) and (b) if the helicopter is rising steadily at the same speed (Use any variable or symbol stated above as necessary.)
v =
d =

Expert Solution

Step 1

Given helicopter is descending at constant $v_{i}$ and wrench is dropped at t=0

(a)

Let helicopter is moving in negative y-direction.

Initial velocity of dropping object is equal to velocity of helicopter.

$v_{i p} = - v_{i}$

Wrench is falling under gravity, so a=-g

After time t speed is;

$v_{f} = v_{w}$

Using equation of motion we have,

$v_{f} = v_{i} + a t$

Plugging value of velocity and acceleration in above equation we get,

$v_{w} = - v_{i} - g t$

so,

$|v_{w}| = |- v_{i} - g t| = v_{i} + g t$

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