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Question: A body A is projected upwards with a velocity of \(98m/s\). The second body B is projected upwards w...

A body A is projected upwards with a velocity of 98m/s98m/s. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

A

6 sec

B

8 sec

C

10 sec

D

12 sec

Answer

12 sec

Explanation

Solution

Let t be the time of flight of the first body after meeting, then (t4)(t - 4) sec will be the time of flight of the second body. Since h1=h2h_{1} = h_{2}

98t12gt2=98(t4)12g(t4)2\therefore 98t - \frac{1}{2}gt^{2} = 98(t - 4) - \frac{1}{2}g(t - 4)^{2}

On solving, we get t=12t = 12seconds