A spacecraft can only have a maximum speed of 970 km/s. Its mass driver is initially moving at a rate of 80 km/s and has to travel a distance of 12500 to reach a portal that closes in 40 seconds. If the driver continued to accelerate until his fastest speed and maintains it before the portal closes, what should the driver's minimum acceleration be to reach the portal?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.62P
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A spacecraft can only have a maximum speed of 970 km/s. Its mass driver is initially moving at a rate of 80 km/s and has to travel a distance of 12500 to reach a portal that closes in 40 seconds. If the driver continued to accelerate until his fastest speed and maintains it before the portal closes, what should the driver's minimum acceleration be to reach the portal? 

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