A particle moves along X- axis in such a way that its coordinate X varies with time t according to e

English

Gujarati

Hindi

2.Motion in Straight Line

medium

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

A

$ - 5$

B

$6$

C

$ - 3$

D

$3$

Solution

(a) The velocity of the particle is

$\frac{{dx}}{{dt}} = \frac{d}{{dt}}(2 – 5t + 6{t^2}) = (0 – 5 + 12t)$

For initial velocity $t = 0$, hence $v = – 5\;m/s$.

Standard 11

Physics

Share

Similar Questions

The speed-time graph of a particle moving along a fixed direction is shown in Figure Obtain the distance(in $m$) traversed by the particle in $m$ between $t=0\; s$ to $10\; s$

easy

we have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why ?

easy

Velocity of a particle moving along a straight line is given by $v = t^2 -3t -4\,(m/s)$. Find the velocity at the instant when no net force is applicable on particle…….$m/s$

medium

The posttion of an object moving along $x$ -axis ts given by $x=a+b t^{2}$ where $a=8.5\; \mathrm{m}, b=2.5 \;\mathrm{m} \mathrm{s}^{-2}$ and $t$ is measured in seconds. What is the velocity at $t=0\;s$ and $t=2.0 \;s$?

easy

The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in $6\, sec$ are respectively

medium