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Horizontal Projectile & Inclined Plane question from NEET 2021

Q8NEET 2021Medium

Horizontal Projectile & Inclined Plane

A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)

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Answer: (a)

  1. At t=4 st = 4\text{ s}: car speed =5×4=20 m/s= 5 \times 4 = 20\text{ m/s}, which the ball keeps horizontally.
  2. After release only gravity acts: in 2 s2\text{ s}, vy=10×2=20 m/sv_y = 10 \times 2 = 20\text{ m/s}.
  3. v=202+202=202 m/sv = \sqrt{20^2 + 20^2} = 20\sqrt{2}\text{ m/s}; acceleration =g=10 m/s2= g = 10\text{ m/s}^2
  4. So the answer is (a).
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