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Useful background for this problem can be found in Multiple-Concept Example 2. O

ID: 2212667 • Letter: U

Question

Useful background for this problem can be found in Multiple-Concept Example 2. On a spacecraft two engines fire for a time of 602 s. One gives the craft an acceleration in the x direction of ax = 7.89 m/s2, while the other produces an acceleration in the y direction of ay = 9.94 m/s2. At the end of the firing period, the craft has velocity components of vx = 5610 m/s and vy = 7180 m/s. Find (a) the magnitude and (b) the direction of the initial velocity. Express the direction as an angle with respect to the +x axis.

Explanation / Answer

ux+axt=vx ux=860.22m/s Similarily uy=1196.12 m/s a)u^2=ux^2+uy^2 u=1473.32 m/s b)theta=arctan(uy/ux)=54.28 degrees

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