(may be broke/outdated!)
NASA has developed Deep-Space 1 (DS-1), a spacecraft that is scheduled to rendezvous with the asteroid named 1992 KD (which orbits the sun millions of miles from the earth). The propulsion system of DS-1 works by ejecting high-speed argon ions out the rear of the engine. The engine slowly increases the velocity of DS-1 by about 19.0 m/s per day.
(a) How much time (in days) will it take to increase the velocity of DS-1 by 11600 m/s in days?
(b) What is the acceleration of DS-1 (in m/s2)?
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3 Responses
The acceleration is 19.0m/s/day.
So, each day the ship increases its velocity by 19 m/s
You wish to change it by 11 600m/s so it will take 11 600/19 days ~ 610.53 days or 1.67 years (each year is 365 days)
The acceleration is 19.0m/s/day = 19.0/(24 x 3 600)m/s/s as I have converted 1 day into 24 x 3 600 seconds
Acc ~ 2.2 x 10^-4 m/s^2 or 0.00022 m/s^2
11,600 m/s / 19 m/s/day = 610.53 days
60 s/min*60 min/hr * 24 hr/day = 86,400 s/day
19 m/s / 86,400 s = 2.20 *10^-4 m/s^2
0.00022 m/s^2
if the acceleration goes up by 19 m/s/s (same as m/s2) just divide the speed you need by the acceleration and you’ll get the time, in days. then to find the acceleration in m/s/s just divide the 19 (acceleration per day) by 86400 (the number of seconds in a day) and you will have the acceleration in m/s/s. I wont giv you the answers simply becouse i dont feel like getting a calculator, but to the best of my knowledge you should have enough info. to get the right answer.