(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

he position of a particle moving along the x axis depends on the time according to the equation x = ct2 - bt3, where x is in meters and t in seconds.

(a) What dimension and units must c have?

m/s2

s2/m

m2/s

s/m2

What dimension and units must b have?

s/m3

m3/s

s3/m

m/s3

For the following, let the numerical values of c and b be 3.2 and 1.0 respectively.

(b) At what time does the particle reach its maximum positive x position?

(c) What distance does the particle cover in the first 4.0 s?

(d) What is its displacement from t = 0 to t = 4.0 s?

(e) What is its velocity at t = 1.0?

What is its velocity at t = 2.0?

What is its velocity at t = 3.0?

What is its velocity at t = 4.0 s?

(f) What is its acceleration at at t = 1.0 s?

What is its acceleration at at t = 2.0 s?

What is its acceleration at at t = 3.0 s?

What is its acceleration at at t = 4.0 s?

2. Relevant equations

I know that in the bold are correct. Unless of course I'm proven to be wrong on this of course.

So, that seems to use the grand dx/dt for (b) unless I'm incorrect. Though, I'm not sure entirely.

So, it would be as such unless I'm mistaken.

v = dx / dt = [(3)*35 + (2) 1]=0

Though, something tells me that I may be incorrect, if so can you please explain why in details. (Sorry to be demanding.) I feel it has to do with the coefficient.

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# Homework Help: Particle Position and Time

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