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A particle moves a distance x in time t according to equation x = (t + 5)⁻¹. The acceleration of particle is proportional to
Options
(a) (velocity)^3/2
(b) (distance)^2
(c) (distance) ^ –2
(d) (velocity) ^ 2/3
Correct Answer:
(velocity)^3/2
Explanation:
x = 1 / t + 5
v = dx / dt = -1 / (t + 5)²
a = d²x / dt² = 2 / (t + 5)³ = 2x³
Now, 1 / (t + 5) ∞ v½
1 / (t + 5)³ ∞ v³/² ∞ a
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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
- What will be the ratio of the distance moved by a freely falling body from rest in 4th
- If potential(in volts) in a region is expressed as V(x,y,z) = 6xy – y + 2yz,
- The upper half of an inclined plane of inclination θ is perfectly smooth while lower
- 24 cells of emf 1.5 V each having internal resistance of 1 ohm are connected
- Consider a compound slab consisting of two different materials having equal thickness
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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