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A ball thrown in the air reaches a height of \( 10 \mathrm{m} \) and drops down to the ground. Find the time taken by the ball to complete this entire journey.

1. \( 2.78 \mathrm{sec} \)
2. 3.40 sec
3. 1.43 sec
4. 2.86 sec

Correct answer: 2.86 sec

Solution

At the top of the motion, the velocity becomes zero, so the initial speed is determined by the maximum height using kinematics. Once that speed is known, the total time is twice the time to rise to the peak, giving 2.86 s.

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