For a particle projected from an inclined plane as shown in the figure, choose the correct statement(s) regarding the projectile.
Time of flight of projectile is 3s
Range of projectile (OP) is 80√3m
Range of projectile (OP) is 80√2m
Time of flight of projectile is 4s
The correct options are C Range of projectile (OP) is 80√2m D Time of flight of projectile is 4s Taking the X−axis along the inclined plane and Y−axis perpendicular to the inclined plane.
Along Y−axis, uy=20sin45=20√2=10√2m/s ay=−gcos45=−10√2=−5√2m/s2
sy=0 [Particle returns to inclined plane, hence displacement along Y-axis is zero] ⇒sy=uyt+12ayt2 ⇒0=10√2t−12×5√2×t2 ⇒t=10√2×25√2=4s ∴T=4s...(1) (Time of flight)
Along X−axis, ux=20cos45∘=20×1√2=10√2m/s ax=10sin45∘=10×1√2=5√2m/s2 Range of the particle, sx=OP Applying sx=uxt+12axt2 ⇒OP=10√2×4+12×5√2×16 ∴OP=40√2+40√2=80√2m Time of flight of the projectile is 4s and its range is 80√2m.