Question

A particle is fired horizontally form an inclined plane of inclination `30^@` with horizontal with speed `50 ms^-1`. If `g=10 ms^-2` , the range measured along the incline is
A. 500 m
B. `1000/3 m`
C. `200 (sqrt2)` m
D. `100 (sqrt3)` m

Answer 1

Correct Answer - B
`R = (u^2)/(gcos^2beta) [sin(2alpha+beta) + sin beta]`
`u = 50m//s, g= 10m//s^2, alpha = 0^@`,
`R = (50)^2/(10 cos^2 30^@) [sin(2 xx 0 + 30^@) + sin 30^@]`
`= ((2500))/(10 xx (3//4)) (1/2 +1/2)`
`=1000/3`.