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Question

The equation of particle is x=t39t2+3t+1 andv=24, then a=


A

3

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B

2

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C

1

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D

0

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Solution

The correct option is D

0


Explanation For The Correct Option:

Finding the value of a:

We know that velocity is,changeofdistancechangeoftimeV=dxdt

Since given that, x=t39t2+3t+1 andv=24

Substitute the given values, we have

-24=ddtt39t2+3t+1-24=3t218t+33t218t+27=0t26t+9=0t-32=0t=3

As we know acceleration is,

a=dVdt=ddtdxdt

a=ddt3t2-18t+3a=6t-18a=6×3-18[t=3]a=0

Hence, the correct answer is option (D).


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