(A) The velocity $v$ of the particle is given by the derivative of the position $x$ with respect to time $t$:$v = \frac{dx}{dt} = \frac{d}{dt}(2 - 5t

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(A) The velocity $v$ of the particle is given by the derivative of the position $x$ with respect to time $t$:$v = \frac{dx}{dt} = \frac{d}{dt}(2 - 5t + 6t^2)$$v = 0 - 5 + 12t$$v = (12t - 5) \ m/s$To find the initial velocity,we substitute $t = 0$ into the velocity equation:$v(0) = 12(0) - 5 = -5 \ m/s$Thus,the initial velocity of the particle is $-5 \ m/s$.

Class 11 Physics Motion in Straight Line Instantaneous Velocity and Speed and Velocity-time Graph

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$A$ particle moves along $X$-axis in such a way that its coordinate $x$ varies with time $t$ according to the equation $x = (2 - 5t + 6t^2) \ m$. The initial velocity of the particle is ....... $m/s$.

A
$ - 5$
B
$6$
C
$ - 3$
D
$3$

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Class 11

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Chapter

Motion in Straight Line

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Instantaneous Velocity and Speed and Velocity-time Graph

Find the acceleration of the particle at $x = 5\,m$ using the given $v^2-x$ graph,where $v$ is velocity and $x$ is displacement.

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Draw the $x-t$ graph for an object moving with zero acceleration.

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The figure shows the position of a particle moving on the $x$-axis as a function of time.

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The acceleration versus velocity graph of a particle moving in a straight line,starting from rest,is as shown in the figure. The corresponding velocity-time graph would be:

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The following plots show the variation of velocity $(v)$ with time $(t)$ for a ball thrown vertically upward and falling back. Which of the following plots is correct?

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$A$ particle moves along $X$-axis in such a way that its coordinate $x$ varies with time $t$ according to the equation $x = (2 - 5t + 6t^2) \ m$. The initial velocity of the particle is ....... $m/s$.

Similar Questions

Find the acceleration of the particle at $x = 5\,m$ using the given $v^2-x$ graph,where $v$ is velocity and $x$ is displacement.

Draw the $x-t$ graph for an object moving with zero acceleration.

The figure shows the position of a particle moving on the $x$-axis as a function of time.

The acceleration versus velocity graph of a particle moving in a straight line,starting from rest,is as shown in the figure. The corresponding velocity-time graph would be:

The following plots show the variation of velocity $(v)$ with time $(t)$ for a ball thrown vertically upward and falling back. Which of the following plots is correct?

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