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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
- If ∆Q>0 when heat flows into a system, ∆W>0 when work is done on the system
- A particle is dropped from a building. It takes 4 sec for the particle to reach the ground
- A capacitor of 10 µF charged upto 250 volt is connected in parallel with another
- An automobile moves on a road with a speed of 54 km h⁻¹. The radius of its wheels
- If the temperature of the sun were to increase from T to 2T and its radius from R and 2R
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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