Question

A particle is projected from a horizontal plane ($x-z$ plane) such that its velocity vector at time $t$ is given by $\overrightarrow{V}=a\hat{i}+(b-ct)\hat{j}$. Its range on the horizontal plane is given by

• A. $\frac{ba}{c}$
• B. $\frac{2ba}{c}$
• C. $\frac{3ba}{c}$
• D. $\frac{a}{c}$

Answer 1

The correct option is B $\frac{2ba}{c}$

Accroding to question
$v_x=u_x=a$
$v_y=u_y-gt=b-ct$
On comparing we get
$g=c$ and $u_y=b$
We know that
$R=\frac{2u_x{u}_y}{g}$
$\therefore R=\frac{2ab}{c}$