If a particle is projected from ground at certain angle -1with horizontal with initial velocity u and it strikes perpendicularly while in air a rigid wall inclined at angle -2 with respect to ground then - consider x-axis along horizontal and y-axis perpendicular to ground upwards- assume elastic collision -g - 10 m-s2-

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Byju's Answer

Standard XII

Physics

Acceleration in 2D

If a particle...

Question

If a particle is projected from ground at certain angle $θ_{1}$ with horizontal with initial velocity $u$ and it strikes perpendicularly (while in air) a rigid wall inclined at angle $θ_{2}$ with respect to ground then : (consider x-axis along horizontal and y-axis perpendicular to ground (upwards), assume elastic collision $[g = 10 m / s^{2}]$

Particle retraces its path after collision

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Velocity of particle is reversed both along x-axis & y-axis after the collision.

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The velocity of particle just before striking the wallmay be equal inmagnitude to the velocity of projection

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The maximum height attained by particle in this motion may be less than the maximum height attained if the wall was not there.

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Solution

The correct options are
A Particle retraces its path after collision
B Velocity of particle is reversed both along x-axis & y-axis after the collision.
D The maximum height attained by particle in this motion may be less than the maximum height attained if the wall was not there.
As particle strikes perpendicularly a and collision is elastic, velocity of particle is reversed as a result it retraces it's path. If it strikes before reaching maximum height ( if there is no wall), point of collision will become the maximum height attained by particle. Hence A,B & D are correct

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