If a space ship is traveling with a constant acceleration of 75 m/s^2 and travels for three weeks, how far did it travel and what was it's velocity before it stopped?
You do not state an initial velocity, so let's assume it is 0.
vf = vo + at vo = original velocity = 0
vf = at a is in seconds 75m/s^2 t is in weeks and one or the other has to match
convert weeks to seconds 3600 sec/hr x 24 hr/day x 21 day = t
multiply this by a to find the final velocity (divide by 1000 m/km to get km/sec)
Then for the distance , starting at xo = 0
xf = xo + vot + 1/2 a t^2 vo and xo = 0 make sure a and t are in the same time units..... Done !