Physics: If [tex]x(t) = at + b(t)^{2} + c {t}^{3} [/tex]find the units of a, b and c. when( x) in m and (t) in sec.

If [tex]x(t) = at + b(t)^{2} + c {t}^{3} [/tex]find

taytay210

11.03.2022

If x(t) is measured in meters (m) and t is measured in seconds (s), then we must have a,b,c such that the units remain consistent:

$x\,\rm m=a(t\,\rm s)+b(t\,\rm s)^2+c(t\,\rm s)^3$

For this to happen, we need s to cancel in the first term and produce a length in m; for this, we would get a in m/s.

In the second term, s^2 needs to be canceled, so b has unit m/s^2.

In the third term, s^3, so c has unit m/s^3.

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pastormac2011

02.03.2020

22·20 you would use the sum it up method

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