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A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds. The velocity of the body at the end of the 7th second is
Options
(a) 10 cm/s
(b) 20 cm/s
(c) 5 cm/s
(d) 30 cm/s
Correct Answer:
10 cm/s
Explanation:
Let u and a be the initial velocity and uniform acceleration of the body.
Using kinematic equation, S = ut + (1/2) at²
.·. 200 = u × 2 + (1/2) a × 2²
⇒ 100 = u + a ——-(i)
Also 420 = 6u + (1/2) a × 6²
⇒ 70 = u + 3a ——-(ii)
Solving equation (i) and (ii), we get u = 115 cms⁻¹, a = -15 cms⁻²
Using equation, v = u + at .·. v = 115 + (-15) × 7 = 10 cms⁻¹
Related Questions: - Starting from the origin, a body oscillates simple harmonically with a period of 2s
- A concave lens of focal length f forms an image which is 1/3 times the size
- Charge q is uniformly spread on a thin ring of radius R. The ring rotates
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Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Starting from the origin, a body oscillates simple harmonically with a period of 2s
- A concave lens of focal length f forms an image which is 1/3 times the size
- Charge q is uniformly spread on a thin ring of radius R. The ring rotates
- A charge Q is uniformly distributed over a large plastic plate. The electric field
- Magnetic flux φ (in weber) linked with a closed circuit of resistance 10 Ω varies
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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