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NEET2021PhysicsMotion in One DimensionActual

A car starts from rest and accelerates at 5   m   s - 2 ,   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 ? ( g = 10   m   s - 2

Options

  1. A20   m   s - 1 , 5   m   s - 2
  2. B20   m   s - 1 , 0
  3. C20 2   m   s - 1   , 10   m   s - 2
  4. D20 2   m   s - 1 , 0  

Correct answer

C. 20 2   m   s - 1   , 10   m   s - 2

Step-by-step solution

velocity of car at t = 4 sec is v = u + a t v = 0 + 5 ( 4 ) = 20   m   s - 1 At t = 6 sec acceleration is due to gravity ∴ a = g = 10   m   s - 2 v x = 20   m   s - 1 (due to car) v y = u + a t = 0 + g ( 2 ) (downward) = 20   m   s - 1 (downward) v = v x 2 + v y 2 = 20 2 + 20 2 = 20 2   m   s - 1

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