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.)

Answer by Alan3354(69443) (Show Source): 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.)
----------
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
-----
s = at^2/2 = 6.7*3.24e12/2 meters
s =~ 1.075e13 meters
==================
That's about 2x the distance to Pluto.
RELATED QUESTIONS
How far would a car travel in 6.0 s if it started from rest, and accelerated at... (answered by jim_thompson5910,solver91311)

A car starting from rest is given a constant acceleration of 5m/s^2. (a) In how many... (answered by ikleyn)

a sailboat moves at a constant speed of 2 m/s. How far does it travel every ten... (answered by ewatrrr)

A cyclist has a head start of 75 m in a race and is moving with constant speed of 10m/s.... (answered by Fombitz)

a van moves with a constant speed of 24 mph. how far can it travel in 1 1/2 hours (answered by ikleyn)

A car slows down uniformly from a speed of 24.0 m/s to rest in 5.50 s. How far did it... (answered by ikleyn)

a car starting from rest moves with a constant acceleration of 10 mi/hr2 for 1 hour, then (answered by Alan3354)

A car and a truck leave the same place and travel in the same direction along a straight... (answered by math_tutor2020)

A car slows down uniformly from a speed of 29.0 m/s to rest in 7.20 s. How far did it... (answered by ikleyn)