Classical Mechanics
# 1D Kinematics

The highest rate a public bus may accelerate or decelerate at is $1.4\text{ m/s}^2$ due to safety reasons. If the distance between two stations is $800\text{ m},$ what is the approximate maximum possible instant velocity of the bus while traveling between those two stations?

Assume the road is straight and free of traffic. The bus must come to a complete stop at the stations.

A body falling freely from a tower of height $h$ covers a distance of $\frac{4h}{5}$ in the last $6\text{ seconds}$ of its motion before hitting the ground. What is the approximate height of the tower?

The gravitational acceleration is $g=10\text{ m/s}^2,$ and $\sqrt{5}$ is approximately $2.236.$