Question

$v\propto a^x{s}^y$ shows relation between velocity, acceleration and displacement where x and y equals?

• A. $1,1$
• B. $2,1/2$
• C. $2,1$
• D. $1/2,1/2$

Answer 1

The correct option is B $2,1/2$

$v\propto a^x{s}^{y}s=ut+\frac{1}{2}a{t}^2\to \left(1\right)v^2-u^2=2as\to \left(2\right)$

Now, $x=2$ from equation$\left(1\right)$

and $y=1/2$ from equation $\left(2\right)$