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JEE Main 202224 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Morning Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2022 · 24 June · Morning Shift · Physics · Motion in One Dimension

From the top of a tower, a ball is thrown vertically upward which...

From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6s6s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5s1 . 5s. A third ball released, from the rest from the same location, will reach the ground in _____ s.

Correct answer

0

Step-by-step solution

When it is thrown upward, −h=v×6−12g(6)2- h = v \times 6 - \dfrac{1}{2}g{\left(6\right)}^{2}

When it is thrown downward, −h=−v×1.5−12g(1.5)2- h = - v \times 1 . 5 - \dfrac{1}{2}g{\left(1 . 5\right)}^{2}

Therefore, 5h=5[36+9]5h = 5\left[36 + 9\right] h=45mh = 45m

When the ball is dropped, h=12gt2⇒45=12×10×t2⇒t=3sh = \dfrac{1}{2}g{t}^{2} ⇒ 45 = \dfrac{1}{2} \times 10 \times {t}^{2} ⇒ t = 3s

Alternate method, t=t1t2=6×1.5=3st = \sqrt{{t}_{1}{t}_{2}} = \sqrt{6 \times 1 . 5} = 3s

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