A projectile is projected with speed 20 m/s from a point on an inclined plane making an angle 30° above the horizontal. Neglect air resistance and take g = 10 m/s². The maximum possible range measured along the inclined plane is:
Options

Question

A projectile is projected with speed 20 m/s from a point on an inclined plane making an angle 30° above the horizontal. Neglect air resistance and take g = 10 m/s². The maximum possible range measured along the inclined plane is:

Options

G1 Physics · Accepted Answer

For an upward inclined plane, the maximum range measured along the plane is R m a x R_max R m ​ a x = u²/[g(1 + sinα)]. Here u = 20 m/s and α = 30°. Thus R m a x R_max R m ​ a x = 20²/[10(1 + 1/2)] = 400/15 = 80/3 m. Therefore option B is correct.