An airplane lands on a straight runway with the touchdown speed of
vo at time t=0 and position x=0. The brakes are applied immediately
causing a deceleration which is proportional to the velocity. Hence the
acceleration in terms of velocity is given by :
a = -k v       with k [1/sec] a given constant
The minus sign indicates deceleration.
- Determine the speed v as function of time t, consider vo
and k to be given constants.
- Determine location x as function of time.