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Physics Motion in a Straight Line Mix MCQ (Single Correct)

A particle is projected from ground in vertical direction at t = 0. At t = 0.8 sec, it reaches h = 14m. It will again come to same height at t =------ [ g = 10 m/s 2 ]

A
2 sec.
B
sec.
C
3 sec.
D
sec.

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Text Solution

Verified by Experts
The correct answer is:
D

Taking upward direction as positive

initial velocity can be obtained by II equ. of motion i.e. s = ut + 1/2 at 2

considering motion from C to A

14 = u × 0.8 – × 10 × 0.8 2

so, u = m/s

(ii) Let velocity magnitude at point A = v

so, v = u – gt

v = – 10 × 0.8 = m/s

(iii) Hence time taken from A to B i.e. till same level = = 2.7 s

Hence the time instant at which the particle comes to same level

= 0.8 + 2.7 = 3.5 s

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