Q64 / 90 · JEE Main 2023 (31 Jan Shift 1) · Physics

The initial speed of a projectile fired from ground is u. At the highest point during its motion, the speed of projectile is 32u. The time of flight of the projectile is:

  • A
    u2g
  • Correct answer
    B
    ug
  • C
    2ug
  • D
    3ug

Solution

Figure

At maximum height, only horizontal velocity of the particle remains. Let the angle of project be θ. The horizontal velocity of the particle will remain same, therefore

ucosθ=3u2⇒θ=30°

Now, time of flight of projectile is

T=2usinθg=ug

Hence, the correct answer is option: 'B'.

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