Hello, Jones!

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: .

Integrate: .

. . and we have: .

Hence: .

We are told that: .

. . So we have: .

Therefore: .