A stone is thrown vertically upwards with a vertical velocity of 98 m/sec. It returns to the ground in

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JKSSB JE (Civil) Official Paper (Held On: 19 Nov, 2023)
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  1. 5 sec
  2. 10 sec
  3. 20 sec
  4. 98 sec

Answer (Detailed Solution Below)

Option 3 : 20 sec
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Detailed Solution

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Explanation:
The total time taken by a stone thrown vertically upwards to return to the ground can be calculated using the basic equations of motion. The time taken to reach the highest point is:

t = u / g
where
u = initial velocity = 98 m/sec
g = acceleration due to gravity = 9.8 m/sec²

t = 98 / 9.8 = 10 sec

Since the time taken to ascend and descend is the same, the total time to return to the ground is:
Total time = 2 × 10 sec = 20 sec

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