Question:medium

A particle moves with velocity ($v = 3t^2 + 2t$). Find acceleration at ($t = 2$) s. ____.

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Since velocity is already given as a function of time, acceleration is its rate of change with respect to time. Differentiate the velocity expression once (a second differentiation is only needed when position is given instead of velocity), then substitute the given time.
Updated On: Aug 17, 2026
  • 14 m/s²
  • 12 m/s²
  • 16 m/s²
  • 10 m/s²
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The Correct Option is A

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“People very often complain that poverty is a great evil and that it is not possible to be happy unless one has a lot of money. Actually, this is not necessarily true. Even a poor man, living in a small hut with none of the comforts and luxuries of life, may be quite contented with his lot and achieve a measure of happiness. On the other hand, a very rich man, living in a palace and enjoying everything that money can buy, may still be miserable, if, for example, he does not enjoy good health or his only son has taken to evil ways. Apart from this, he may have a lot of business worries which keep him on tenterhooks most of the time. There is a limit to what money can buy and there are many things which are necessary for a man’s happiness and which money cannot procure. Real happiness is a matter of the right attitude and the capacity of being contented with whatever you have is the most important ingredient of this attitude.”
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