1.
A car accelerating uniformly from rest reaches a velocity of $36 \text{ m/s}$ in $12 \text{ s}$. Find the acceleration and distance travelled.
2.
A stone thrown vertically upwards with $15 \text{ m/s}$ reaches max height $H$. Find $H$ and total time of flight. ($g = 10 \text{ m/s}^2$)
3.
An object moves along x-axis such that $x(t) = t^3 - 3t^2 + 2t$. Calculate the acceleration at $t = 2 \text{ s}$.
4.
Two trains $100 \text{ m}$ each run towards each other at $36 \text{ km/h}$ and $54 \text{ km/h}$. Find the time taken to cross each other.
