Question: If $x = at + bt^{2},$ where $x$ is the distance travelled by the body in kilometre while $t$ t...

Question

If $x = at + bt^{2},$ where $x$ is the distance travelled by the body in kilometre while $t$ the time in seconds, then the units of $b$ are

Answer 1

Solution

From the principle of dimensional homogenity $\lbrack x\rbrack = \lbrack bt^{2}\rbrack$ ⇒ $\lbrack b\rbrack = \left\lbrack \frac{x}{t^{2}} \right\rbrack$ $\therefore$ Unit of b = km/s².

Question: If \(x = at + bt^{2},\) where \(x\) is the distance travelled by the body in kilometre while \(t\) t...

Solution