Question

A ball is projected from point A with a velocity 10 $m{s}^{-1}$ perpendicular to the plane as given. The range of the ball on plane is( in m),+

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

t (till the ball reaches a state of v=0) = $\frac{-10}{10\left(cos30°\right)}$ = $\frac{2}{\sqrt{3}}$

So, time of flight = $2\times \frac{2}{\sqrt{3}}=\frac{4}{\sqrt{3}}$

Range along incline,

R = $U_x$T + $\frac{1}{2}{a}_x{T}^2$ = (0 $\times$ T) + [ $\frac{1}{2}$ $\times 5\times$ $(\frac{4}{\sqrt{3}}{)}^2$]

$\Rightarrow$ R = $\frac{40m}{3}$