A particle starts from rest at $x=0\; m$ with an acceleration of $1 \,m / s ^2$. At $t = 5\;s _{ s }$ it receives an additional acceleration in the same direction as its motion. At $t =10\; s$ its speed and position are $v$ and $x$, respectively. Had the additional acceleration not been provided, its speed and position would have been $v _0$ and $x _0$, respectively. It is found that $x - x _0$ is $12.5 \,m$. Then one can conclude that $v - v _0$ is .............. $\,m / s$

A body of mass $10\, kg$ is moving with a constant velocity of $10 \,m/s$. When a constant force acts for $4 \,seconds$ on it, it moves with a velocity $2 \,m/sec$ in the opposite direction. The acceleration produced in it is...........$m/{\sec ^2}$

A particle travels $10\,m$ in first $5\, sec$ and $10\,m$ in next $3 \,sec$. Assuming constant acceleration what is the distance travelled in next $2 \,sec$..........$m$

A body moves from rest with a constant acceleration of $5\,m/{s^2}$. Its instantaneous speed (in $m/s)$ at the end of $10\, sec$ is

A particle is moving along a straight line with constant acceleration. At the end of tenth  second its velocity becomes $20\, m/s$ and in tenth second it travels a distance of $10\, m$.  Then the acceleration of the particle will be........$m/s^2$