Physics

# If $x = a + bt + ct^2$, where 'x' is in metre and 't' in second. What are the units of b and 'c'.

##### SOLUTION
The given quantity is   $x = a+bt+ct^2$
So,   $[x]= [a] = [b][t] = [c][t^2]$
Or,  units of $b$,    $[b] = \dfrac{[x]}{[t]} = m/s$
Or,  units of $c$,    $[c] = \dfrac{[x]}{[t^2]} = m/s^2$

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Subjective Medium Published on 18th 08, 2020
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