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Question

For a particle projected from an inclined plane as shown in the figure, choose the correct statement(s) regarding the projectile.




Your Answer
A
Time of flight of projectile is 3 s
Your Answer
B
Range of projectile (OP) is 803 m
Correct Answer
C
Range of projectile (OP) is 802 m
Correct Answer
D
Time of flight of projectile is 4 s

Solution

The correct options are
C Range of projectile (OP) is 802 m
D Time of flight of projectile is 4 s
Taking the Xaxis along the inclined plane and Yaxis perpendicular to the inclined plane.


Along Yaxis,
uy=20sin45=202=102 m/s 
ay=gcos45=102=52 m/s2

sy=0 [Particle returns to inclined plane, hence displacement along Y-axis is zero]
sy=uyt+12ayt2
0=102t12×52×t2
t=102×252=4 s
T=4 s     ...(1) (Time of flight)

Along Xaxis,
ux=20cos45=20×12=102 m/s
ax=10sin45=10×12=52 m/s2
Range of the particle, sx=OP
Applying   sx=uxt+12axt2
OP=102×4+12×52×16
OP=402+402=802 m
Time of flight of the projectile is 4 s and its range is 802 m.

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