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An object is moving towards a mirror with a velocity of 10 m s - 1 as shown in the figure. If the collision between the mirror and the object is perfectly elastic, then the velocity of the image after collision with mirror in vector form is

Options

  1. A- 10 j ^
  2. B- 10 c o s ⁡ 15 j ^ + 10 s i n ⁡ 15 j ^
  3. C- 10 i ^
  4. D- 10 c o s ⁡ 30 j ^ - 10 s i n ⁡ 30 i ^

Correct answer

D. - 10 c o s ⁡ 30 j ^ - 10 s i n ⁡ 30 i ^

Step-by-step solution

V → i m = V o b j c o s ⁡ 2 θ - j ^ + V o b j s i n ⁡ 2 θ - i ^ V → i m = - 10 c o s ⁡ 30 j ^ - 10 s i n ⁡ 30 i ^

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