Two particles are projected simultaneously from the level ground as shown figure. They may collide after a time :

Options

A. `(xsintheta_(2))/(u_(1))`
B. `(xcostheta_(2))/(u_(2))`
C. `(xsintheta_(2))/(u_(1)sin(theta_(2)-theta_(1))`
D. `(xsintheta_(1))/(u_(2)sin(theta_(2)-theta_(1))`

Answer

3

Explanation

`t=(x)/(u_(1)costheta_(1)-u_(2)costheta_(2)) " " ...(i)`
And `u_(1)sintheta_(1).t-(1)/(2)g t^(2)=u_(2)sintheta_(2).t-(1)/(2)g t^(2)`
`:. u_(1)sintheta_(1)=U_(2)sintheta_(2) " " ...(ii)`
from equation no.`(i)&(ii)`
`t=(x)/(u_(1)costheta_(1)-(u_(1)sintheta_(1).costheta_(2))/(sintheta_(2)))`
`:. t=(xsintheta_(2))/(u_(1)sin(theta_(2)-theta_(1)))`