A particle moves according to the equation t- x -3- When the particle comes to rest for the first time -

The correct option is A 3 s t=√( x ) +3 ⇒ x= (t 3) ^ 2 ⇒ v= dx dt =2(t 3) Now put v=0 2(t 3)=0 ⇒ t=3 seconds ...

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Standard XII

Physics

Multiplication with Vectors

A particle mo...

Question

A particle moves according to the equation $t = \sqrt{x} + 3$ . When the particle comes to rest for the first time ?

3 s

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2.5 s

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3.5 s

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None of these

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Solution

The correct option is A $3 s$
$t = \sqrt{x} + 3 \Rightarrow x = {(t - 3)}^{2} \Rightarrow v = \frac{d x}{d t} = 2 (t - 3)$
Now put $v = 0$
$2 (t - 3) = 0 \Rightarrow t = 3$ seconds

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A particle moves according to the equation t=√x+3. When the particle comes to rest for the first time ?

The correct option is A 3 st=√x+3⇒x=(t−3)2⇒v=dxdt=2(t−3)Now put v=02(t−3)=0⇒t=3 seconds

A particle moves according to the equation $t = \sqrt{x} + 3$ . When the particle comes to rest for the first time ?

The correct option is A $3 s$
$t = \sqrt{x} + 3 \Rightarrow x = {(t - 3)}^{2} \Rightarrow v = \frac{d x}{d t} = 2 (t - 3)$
Now put $v = 0$
$2 (t - 3) = 0 \Rightarrow t = 3$ seconds