Kinematic Equations — Prelims Questions

A car starts from rest and accelerates uniformly at $2\,\text{m/s}^2$ for $10\,\text{s}$. What is the distance covered by the car during this time?

A stone is dropped from a height $h$. It reaches the ground in $t$ seconds. If the stone is dropped from a height $4h$, how long will it take to reach the ground? (Assume acceleration due to gravity $g$ is constant.)

A body is thrown vertically upwards with an initial velocity of $20\,\text{m/s}$. Assuming $g = 10\,\text{m/s}^2$, what is the maximum height reached by the body?

A particle starts with an initial velocity of $5\,\text{m/s}$ and moves with a constant acceleration of $2\,\text{m/s}^2$. What is the displacement covered by the particle in the $3^{rd}$ second?

An object moving with an initial velocity of $15\,\text{m/s}$ decelerates uniformly at $3\,\text{m/s}^2$. How far does it travel before coming to rest?

A particle moves with constant acceleration. Its velocity changes from $10\,\text{m/s}$ to $20\,\text{m/s}$ in $5\,\text{s}$. What is the acceleration of the particle?