Soft landing

A ball arrives at a given speed and is stopped. You will make the program find the momentum to remove, the average force for six different stopping times, and the shortest stopping time that keeps the force at $100\ \text{N}$ or less. Then it draws the forces as bars.

The idea. Average force $=$ change of momentum $\div$ time. A longer stop needs a smaller force.

Your tasks.

1. Work out dp, the momentum the catch must remove.
2. Make the list forces, one force for each time in times.
3. Find safe, the shortest time on the list whose force is at most $100\ \text{N}$.