Could you just explain part where they integrate the x and y components to get those equations

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7OQ: A student at the top of a building of height h throws one ball upward with a speed of vi and then...
icon
Related questions
Question
Could you just explain part where they integrate the x and y components to get those equations
Problem 1-2D gravity and drag.
At time t = 0, a box with mass M = 10 kg is launched from a helicopter, moving at constant horizontal velocity Vhel = 10 m/s. The initial velocity of the box is
Vyo = 0. The height of the helicopter with respect to a plateau underneath is yo = 5.0 x 10² m, and its x-coordinate at time t = 0 is xo = 0. As the box falls, it is
subject to the force of gravity (assume g = 10 m/s2) and to the drag force Fo= -bv, with drag coefficient b = 10 kg/s. (a) Find the solution v(t) for the box
velocity (x and y components) as a function of time. (b) Estimate the time it takes for the box to reach the plateau at y = 0. (c) Estimate the maximum value
of x reached by the box.
(a) M du = My - bu
1
V₂(0)=Vhel
Vy(0)=0
dt I
dung bay
solving for v₂(t): v₂(t)=₁²²₂
solving for vylt): vy(t)= v₁(1-25/26)
(h) The free to i Y-H 10
where To = H
= M₂
where v=
Transcribed Image Text:Problem 1-2D gravity and drag. At time t = 0, a box with mass M = 10 kg is launched from a helicopter, moving at constant horizontal velocity Vhel = 10 m/s. The initial velocity of the box is Vyo = 0. The height of the helicopter with respect to a plateau underneath is yo = 5.0 x 10² m, and its x-coordinate at time t = 0 is xo = 0. As the box falls, it is subject to the force of gravity (assume g = 10 m/s2) and to the drag force Fo= -bv, with drag coefficient b = 10 kg/s. (a) Find the solution v(t) for the box velocity (x and y components) as a function of time. (b) Estimate the time it takes for the box to reach the plateau at y = 0. (c) Estimate the maximum value of x reached by the box. (a) M du = My - bu 1 V₂(0)=Vhel Vy(0)=0 dt I dung bay solving for v₂(t): v₂(t)=₁²²₂ solving for vylt): vy(t)= v₁(1-25/26) (h) The free to i Y-H 10 where To = H = M₂ where v=
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Vector basics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill