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JEE Main 202329 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2023 · 29 January · Morning Shift · Physics · Motion in One Dimension

A tennis ball is dropped on to the floor from a height of 9 . 8m ....

A tennis ball is dropped on to the floor from a height of 9.8m9 . 8m. It rebounds to a height 5.0m5 . 0m. Ball comes in contact with the floor for 0.2s0 . 2s. The average acceleration during contact is ______ ms−2m{s}^{- 2}. [Given g=10ms−2g = 10m{s}^{- 2}]

Correct answer

0

Step-by-step solution

The speed of ball just before collision with ground is vi2=0+2ghi{v}_{i}^{2} = 0 + 2g{h}_{i}

⇒vi=2ghi⇒ {v}_{i} = \sqrt{2g{h}_{i}}

=2×10×9.8= \sqrt{2 \times 10 \times 9 . 8}

=14ms−1(Downward)</p><p>Thespeed= 14m{s}^{- 1}\left(Downward\right)</p><p>The speed of ball just after collision is0 = {v}_{f}^{2} - 2g{h}_{f}</p><p></p><p>⇒ {v}_{f} = \sqrt{2g{h}_{f}}</p><p></p><p>= \sqrt{2 \times 10 \times 5}</p><p></p><p>= 10m{s}^{- 1}\left(Upward\right)</p><p>Averageaccelerationofballis∣a→avg∣=∣Δv→\Deltat∣=vf−(−vi)t=10+140.2=240.2=120ms−2</p><p>Average acceleration of ball is \left|\overset{\to}{a}avg\right| = \left|\dfrac{\Delta\overset{\to}{v}}{\Deltat}\right| = \dfrac{{v}_{f} - \left(- {v}_{i}\right)}{t} = \dfrac{10 + 14}{0 . 2} = \dfrac{24}{0 . 2} = 120m{s}^{- 2}.

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