A spacecraft is traveling with a velocity of v0x = 5010 m/s along the +x direction. Two engines are turned on for a time of 915 s. One engine gives the spacecraft an acceleration in the +x direction of ax = 2.96 m/s2, while the other gives it an acceleration in the +ydirection of ay = 8.08 m/s2. At the end of the firing, what is a) vx and b) vy?

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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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A spacecraft is traveling with a velocity of v0x = 5010 m/s along the +x direction. Two engines are turned on for a time of 915 s. One engine gives the spacecraft an acceleration in the +x direction of ax = 2.96 m/s2, while the other gives it an acceleration in the +ydirection of ay = 8.08 m/s2. At the end of the firing, what is a) vx and b) vy?

Expert Solution
Step 1

Given data:

  • The x-component of the initial velocity of the spacecraft, v0x=5010 m/s.
  • The time interval during which the engines are turned on, t=915 s.
  • The x-component of acceleration, ax=2.96 m/s2.
  • The y-component of acceleration, ay=8.08 m/s2.

a)

The x-component of the final velocity can be expressed as,

vx=v0x+axt

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