During a boat trip, the engine suddenly stops.
If the braking force is proportional to the velocity,
it is possible to set up a differential equation:
where is the mass of the boat, is the velocity,
is the time and is the braking force.
a) Determine as a function of time if yields
We are given: .
Separate variables: .
. . and we have: .
We are told that: .
. . So we have: .