ISRO Mechanical & Aerospace 2010 - Question 21

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A particle is projected at an angle $\theta$ to the horizontal and it attains a maximum height H. The time taken by the projectile to reach the highest point, of its path is

  • A. $\sqrt{H/g}$
  • B. $\sqrt{2H/g}$
  • C. $\frac{\sqrt{2H \sin \theta}}{g}$
  • D. $\frac{\sqrt{2H}}{\sin \theta}$

Answer: B. $\sqrt{2H/g}$

Explanation: Max height $H = (u \sin \theta)^2 / 2g$. Vertical component $u_y = u \sin \theta = \sqrt{2gH}$. Time to max height $t = u_y / g = \sqrt{2gH}/g = \sqrt{2H/g}$.

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