The acceleration $'a'$ in $m/{s^2}$ of a particle is given by $a = 3{t^2} + 2t + 2$ where $t$ is the time. If the particle starts out with a velocity $u = 2\,m/s$ at $t = 0$, then the velocity at the end of $2$ second is.......$m/s$

What is reaction time ? On what does the reaction time depend ?

The relation between time and distance is $t = \alpha {x^2} + \beta x$, where $\alpha $ and $\beta $ are constants. The retardation is

Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$

A particle of mass $m$ moves on the x-axis as follows : it starts from rest at $t = 0$ from the point $x = 0$ and comes to rest at $ t= 1$ at the point $x = 1$. No other information is available about its motion at intermediate time $(0 < t < 1)$. If $\alpha $ denotes the instantaneous acceleration of the particle, then