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If the displacement of an object is proportional to square of time, then the object moves with
- a)uniform velocity
- b)uniform acceleration
- c)increasing acceleration
- d)decreasing acceleration
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the displacement of an object is proportional to square of time, th...
Explanation:
The displacement of an object is given by the formula:
s = kt²
where s is the displacement of the object, t is the time taken, and k is a constant.
We can differentiate this equation with respect to time to find the velocity of the object:
v = ds/dt = 2kt
We can differentiate again to find the acceleration of the object:
a = dv/dt = 2k
Therefore, we can see that the acceleration of the object is constant and proportional to the displacement. Hence, the object moves with uniform acceleration, option (B) is correct.
The displacement of an object is given by the formula:
s = kt²
where s is the displacement of the object, t is the time taken, and k is a constant.
We can differentiate this equation with respect to time to find the velocity of the object:
v = ds/dt = 2kt
We can differentiate again to find the acceleration of the object:
a = dv/dt = 2k
Therefore, we can see that the acceleration of the object is constant and proportional to the displacement. Hence, the object moves with uniform acceleration, option (B) is correct.
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Community Answer
If the displacement of an object is proportional to square of time, th...
If S ∝ t2 then acceleration is constant.
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If the displacement of an object is proportional to square of time, then the object moves witha)uniform velocityb)uniform accelerationc)increasing accelerationd)decreasing accelerationCorrect answer is option 'B'. Can you explain this answer?
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