44. A bail is projected up an incline of 30° with a velocityof 30 ms

1.	44. A bail is projected up an incline of 30° with a velocityof 30 ms at an angle of 30 with reference to theinclined plane from the bottom of the inclined plane.If g 10 ms , then the range on the inclined plane is(a) 12 m(b) 60 m(c) 120 m(d) 600 m
Answer» Range of projectile is= 2u2sin(α-β)cosα/gcosβ where a = angle of projection from horz = (30+30)°and ß = angle of inclined surface = 30° so, R = 2(30)² × sin(60-30)×cos(60)°/10cos(30°)=> R = 29000.50.5/10(√3/2) => R = 450/5√3 = 90/√3 = 52 so, the nearest answer is 60m option B

44. A bail is projected up an incline of 30° with a velocityof 30 ms at an angle of 30 with reference to theinclined plane from the bottom of the inclined plane.If g 10 ms , then the range on the inclined plane is(a) 12 m(b) 60 m(c) 120 m(d) 600 m

Answer»

Range of projectile is= 2u2sin(α-β)cosα/gcosβ

where a = angle of projection from horz = (30+30)°and ß = angle of inclined surface = 30°

so, R = 2*(30)² × sin(60-30)×cos(60)°/10*cos(30°)=> R = 2*900*0.5*0.5/10*(√3/2) => R = 450/5√3 = 90/√3 = 52

so, the nearest answer is 60m

option B