Question
A particle is moving with constant acceleration $'a'.$ Following graph shows $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is $......{m} / {s}^{2}$

Answer

${y}={m} {x}+{C}$

${v}^{2}=\frac{20}{10} {x}+20$

${v}^{2}=2 {x}+20$

$2 {v} \frac{{d} {v}}{{d} {x}}=2$

$\therefore {a}={v} \frac{{d} {v}}{{d} {x}}=1$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The total power dissipated in watt in the circuit shown here is ............. $W$
The frequencies of two sound sources are $256 Hz$ and $260 Hz$. At $t = 0,$ the intensity of sound is maximum. Then the phase difference at the time $t = \frac{1}{16}\, sec$ will be
An object is projected in the air with initial velocity $u$ at an angle $\theta$. The projectile motion is such that the horizontal range $R$, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be $.......$ degree.
The electric flux for Gaussian surface A that enclose the charged particles in free space is (given $q_1$ = $-14\, nC$, $q_2$ = $78.85\, nC$, $q_3$ = $-56 \,nC$)
An object of mass $m$ is sliding down a hill of arbitrary shape and after traveling a certain horizontal path stops because of friction. The friction coefficient is different for different segments of the entire path but it is independent of the velocity and direction of motion. The work done that a force must perform to return the object  its initial position along the same path would be :-
The magnifying power of a simple microscope can be increased, if we use eye-piece of
The relay satellite transmits the $T.V.$ programme continuously from one part of the world to another because its
The ratio of wavelength of spectral lines $H_\alpha$ and $H _\beta$ in the Balmer series is $\frac{x}{20}$. The value of $x$ is $...............$
A short magnet is allowed to fall along the axis of a horizontal metallic ring. Starting from rest, the distance fallen by the magnet in one second may be.....$m$
A body is thrown horizontally from the top of a tower of height $5 \,m$. It touches the ground at a distance of $10 \,m$ from the foot of the tower. The initial velocity of the body is ......... $ms^{-1}$ ($g = 10\, ms^{-2}$)