A $100\mathrm{kg}$ rock is in space, far from any planets, stars or black holes. It is moving in a straight line at a constant $\mathrm{10,000}\mathrm{m}/\mathrm{s}$ relative to our sun. What total force is required to keep it moving that fast?

A hockey puck with mass $0.160$ kg is at rest at the origin ($x=0$) on the horizontal, frictionless surface of the rink. At time $t=0$ a player applies a force of $0.250$ N to the puck, parallel to the $x$-axis; she continues to apply this force until $t=2.00$ s. What are the position and speed of the puck at $t=2.00$ s?

A small $8.00$-kg rocket burns fuel that exerts a time-varying upward force on the rocket (assume constant mass) as the rocket moves upward from the launch pad. This force obeys the equation $F=A+B{t}^2$. Measurements show that at $t=0$, the force is $100.0$ N, and at the end of the first $2.00$ s, it is $150.0$ N. Find the constants $A$ and $B$, including their SI units.