If velocity of a particle is (10 + 2t^2) m/s , then average acceleration of particle between 2s and

English

Gujarati

Hindi

2.Motion in Straight Line

medium

If the velocity of a particle is $(10 + 2t^2) m/s$, then the average acceleration of the particle between $2s$ and $5s$ is..........$m/s^2$

$2$

$4$

$12$

$14$

Solution

(d) Average acceleration $ = \frac{{{\rm{Change\, in\, velocity }}}}{{{\rm{Time\, taken }}}}$

$ = \frac{{{v_2} – {v_1}}}{{{t_2} – {t_1}}}$ $ = \frac{{\left[ {10 + 2{{(5)}^2}} \right] – \left[ {10 + 2{{(2)}^2}} \right]}}{3} = \frac{{60 – 18}}{3}$$ = 14\;m/{s^2}$.

Standard 11

Physics

A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{3}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $……….\,m / s ^2$

medium

What can be the angle between velocity and acceleration for the motion on a straight line ? Explain with example.

easy

The position$(x)$ of a particle at any time$(t)$ is given by $x(t) = 4t^3 -3t^2 + 2$ The acceleration and velocity of the particle at any time $t = 2\, sec$ are respectively

medium

(AIIMS-2009)

The acceleration-time graph for a body is shown in the graph. Which of the following graphs would probably represent velocity of the body plotted against time:-

medium

The velocity-displacement graph of a particle is shown in the figure.

The acceleration-displacement graph of the same particle is represented by :

medium

(JEE MAIN-2021)

If the velocity of a particle is $(10 + 2t^2) m/s$, then the average acceleration of the particle between $2s$ and $5s$ is..........$m/s^2$

Solution

Similar Questions

A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{3}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $……….\,m / s ^2$

What can be the angle between velocity and acceleration for the motion on a straight line ? Explain with example.

The position$(x)$ of a particle at any time$(t)$ is given by $x(t) = 4t^3 -3t^2 + 2$ The acceleration and velocity of the particle at any time $t = 2\, sec$ are respectively

The acceleration-time graph for a body is shown in the graph. Which of the following graphs would probably represent velocity of the body plotted against time:-

The velocity-displacement graph of a particle is shown in the figure. The acceleration-displacement graph of the same particle is represented by :

Start a Free Trial Now

The velocity-displacement graph of a particle is shown in the figure.

The acceleration-displacement graph of the same particle is represented by :