A man in a balloon rising vertically with an acceleration of \(4.9\,m/s^{2}\) releases a ball 2 sec after the balloon is let go from the ground. The greatest height above the ground reached by the ball is \(g = 9.8 \, m/sec^{2}\)
Text Solution
Verified by ExpertsA
Height travelled by ball (with balloon) in 2 sec
\(h - \frac{1}{2} \times 0 \times t^{2} - \frac{1}{2} \times 4.9 \times 2^{2} - 9.8 m\)
Velocity of the balloon after 2 sec
\(v = a \tau = 4.9 \times 2 = 9.8 \text{ m/s}\)
Now if the ball is released from the balloon then it acquire same velocity in upward direction.
Let it move up to maximum height \(\mathrm{H}_2\)
v^2 = u^2 + 2gh_2 ⇒ ⇒ \(0 = (9.8)^2 - 2 \times (9.8) \times h_i\)
\hbar : =4.9 m
Greatest height above the ground reached by the ball \(g + h_2 \quad 9.8 + 4.9 \quad 14.7\,m\)
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems