Calculus
# Displacement, Velocity, Acceleration

A ball is currently $1000m$ above the ground and held at rest. It is dropped at $t = 0$, and experiences gravitational acceleration of $9.8 \, m / s^2$.

When $3$ seconds is passed, what is the height of the ball from the ground?

**P** with an initial velocity of $9\text{ m/s}$ starts to move eastward along a straight line under a constant acceleration of $8\text{ m/s}^2$ from point **A**. At the same time, another object **Q** starts to move eastward under a constant acceleration of $9\text{ m/s}^2$ from rest at point **A**. How far does object **Q** travel in meters when the two objects meet again?

$640 \text{ m/s}$ as the bullet emerges from its $1.20 \text{ m}$ long barrel. Assuming a constant acceleration, find the time that the bullet spends in the barrel after it is fired.

The speed of a bullet is measured to be