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AP EAMCET · PHYSICS · Motion In Two Dimensions

If the height of a projectile at a time of 2 s from the beginning of motion is 60 m, then the time of flight of the projectile is (Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

  1. A 12 s
  2. B 4 s
  3. C 6 s
  4. D 8 s
Verified Solution

Answer & Solution

Correct Answer

(D) 8 s

Step-by-step Solution

Detailed explanation

\(h = u_y t - \frac{1}{2}gt^2\) \(60 = u_y (2) - \frac{1}{2}(10)(2)^2\) \(60 = 2u_y - 20\) \(2u_y = 80 \Rightarrow u_y = 40 \text{ m/s}\) \(T = \frac{2u_y}{g}\) \(T = \frac{2(40)}{10}\) \(T = 8 \text{ s}\)