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

The position of a particle moving along the x axis depends on the time according to the equation

x=ct[tex]^{2}[/tex]-bt[tex]^{3}[/tex]

where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0 respectively.(c) At what time does the particle reach its maximum positive x position? From t=0 to t=2.0, (d) what distance does the particle move and (e) what is its displacement? Find its velocity at times (f) 1.0 (g) 2.0 (h) 3.0 and (i)4.0. Find its acceleration at times (j) 1.0 (k) 2.0 (l) 3.0 and (m)4.0.

2. Relevant equations

x=ct[tex]^{2}[/tex]-bt[tex]^{3}[/tex]

3. The attempt at a solution

I can't even get started on part a. I am not sure how to find the constants. The only thing I could think of would be using the final unit (m), so in that case one would have to be meters and the other seconds?

Am I on the right track?

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# Homework Help: Kinematics moving particle problem

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