Given, $X=a+b t+c t^{2}$ where $X$ is in metre and $t$ is in seconds. Then the units of $a, b$ and $

Question

Given, $X=a+b t+c t^{2}$ where $X$ is in metre and $t$ is in seconds. Then the units of $a, b$ and $c$ are\

Professor PC Thomas Classes · Answer

$x=a+b t+c t^{2}$ Principle:\ If $\mathrm{A}=\mathrm{B}+\mathrm{C}+\mathrm{D}$,\ unit of $A=$ unit of $B=$ unit of $C=$ unit of $D$\ $	herefore$ Unit of $\mathrm{a}=$ unit of $\mathrm{x}=\mathrm{m}$\ unit of bt $=\mathrm{m}$\ $	herefore \quad$ Unit of $\mathrm{b}=\frac{\mathrm{m}}{\mathrm{t}}=\frac{\mathrm{m}}{\mathrm{s}}$\ Unit of $\mathrm{ct}^{2}=\mathrm{m}$\ $	herefore \quad$ Unit of $\mathrm{c}=\frac{\mathrm{m}}{\mathrm{t}^{2}}=\frac{\mathrm{m}}{\mathrm{s}^{2}}$\