SOLUTION: A rocketship in free space moves with constant accerlation equal to 6.70 m/s^2. If it started from rest, how far (in meters) will it have traveled by the time it reaches a speed e
Question 1047578: A rocketship in free space moves with constant accerlation equal to 6.70 m/s^2. If it started from rest, how far (in meters) will it have traveled by the time it reaches a speed equal to 4.00 percent of the speed of light? (The speed of light is 3.00E+08 m/s.)
You can put this solution on YOUR website! A rocket ship in free space moves with constant acceleration equal to 6.70 m/s^2. If it started from rest, how far (in meters) will it have traveled by the time it reaches a speed equal to 4.00 percent of the speed of light? (The speed of light is 3.00E+08 m/s.)
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v = 0.04*3e8 = 1.2e7 m/sec
Find the time to reach that speed:
v = a*t
t = v/a = 1.2e7/6.7
t =~ 1.8e6 seconds
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s = at^2/2 = 6.7*3.24e12/2 meters
s =~ 1.075e13 meters
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That's about 2x the distance to Pluto.
