Velocity-displacement graph of a particle moving in a straight line is as shown in figure
magnitude of acceleration of particle is constant
magnitude of acceleration of particle is increasing
acceleration versus displacement graph is straight line
acceleration versus displacement graph is parabola
The initial velocity of a particle moving along $x$-axis is $u$ (at $t=0$ and $x=0$ ) and its acceleration $a$ is given by $a=k x$. Which of the following equation is correct between its velocity $(v)$ and position $(x)$ ?
A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{4}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $..........\,m / s ^2$
A truck and a car are moving with equal velocity. On applying the brakes both will stop after certain distance, then
The displacement of a particle is given by $y = a + bt + c{t^2} - d{t^4}$. The initial velocity and acceleration are respectively