crazy projectiles

Classical Mechanics Level 4

A particle A is projected vertically upwards with velocity 100 m/s. In its return journey it collides with another particle B, 320 m below the maximum height attained by particle A. Particle B has the horizontal velocity 200 m/s and vertical velocity zero. Find the distance between the places they hit the ground.

Details and assumptions

  • \[2m_A=m_B\]
  • take the coefficient of restitution \[e=\frac{1}{2}\]
  • take g=10 SI units

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