If it starts from rest, how long will it take to acquire a speed 0.15 times

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freddydiaz25

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that of light? Suppose a rocket ship in deep space moves with constant acceleration equal to 9.8 m/s2, which gives the illusion of normal gravity during the flight.

(a) If it starts from rest, how long will it take to acquire a speed 0.15 times that of light, which travels at 3.0 multiplied by 108 m/s?

(b) How far will it travel in so doing?
 
It will take a little over 53 days to get up to that speed, and will have travelled about 690 astronomical units during that time (about 1% of a light year).

This of course ignores any relativistic effects.
 
a - light (c) does not travel at "3.0 multiplied by 108 m/s", it travels at 300,000,000 m/s. 300,000,000/9.8 = 30,612,245 s or 8,503 hours.

b - you can use the following equation:

d = vi*t + 0.5*a*t^2

vi is the initial velocity which is equal to 0 as given
a is the acceleration due to gravity.

Therefore, d = 0.5(9.8)(30,612,245 ^2).
You can do the math yourself.
 
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