The velocity as a function of time for an asteroid in the asteroid belt is given by v(t)=v0e−t/t0i^+(v0t/2t0)j^, where v0 and t0 are constants. Use (ti=0) as the initial time, and (tf=1.9t0) as the final time. Hint: Doing your work algebraically first (as you always should) you will find that being given the final time this way will cut down a lot of number crunching in your calculator! The values for the constants that you will use are: v0 = 37 m/s t0 = 252 s I have already found the x component of the velocity being 16.56m/s, but the next part of the question asks me to find the magnitude of the average acceleration of the asteroid. I tried taking the integral of acceleration and dividing that by the difference in tf - ti but that still isn't getting me the right answer and I jsut don't know how I'm supposed to set this problem up.
The velocity as a function of time for an asteroid in the asteroid belt is given by
v(t)=v0e−t/t0i^+(v0t/2t0)j^,
where v0 and t0 are constants.
Use (ti=0) as the initial time, and (tf=1.9t0) as the final time. Hint: Doing your work algebraically first (as you always should) you will find that being given the final time this way will cut down a lot of number crunching in your calculator!
The values for the constants that you will use are:
v0 = 37 m/s
t0 = 252 s
I have already found the x component of the velocity being 16.56m/s, but the next part of the question asks me to find the magnitude of the average acceleration of the asteroid. I tried taking the integral of acceleration and dividing that by the difference in tf - ti but that still isn't getting me the right answer and I jsut don't know how I'm supposed to set this problem up.
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