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JEE Main202312 Apr 2023Morning ShiftPhysicsMotion in One DimensionActual

A ball is thrown vertically upward with an initial velocity of 150 m s - 1 . The ratio of velocity after 3 s and 5 s is x + 1 x . The value of x is _____. take, g = 10 m s - 2

Options

  1. A10
  2. B- 5
  3. C6
  4. D5

Correct answer

D. 5

Step-by-step solution

The formula to calculate the velocity of the ball after 3   s is given by v 3 = u - 3 g       . . . 1 The formula to calculate the velocity of the ball after 5   s is given by v 5 = u - 5 g       . . . 2 Divide equation (1) by equation (2) to obtain the required ratio. v 3 v 5 = u - 3 g u - 5 g       . . . 3 Substitute the values of the known parameters into equation (3) to calculate the required ratio. v 3 v 5 = 150 - 30 150 - 50 = 120 100 = 6 5 =   5 + 1

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