An airplane lands on a straight runway with the touchdown speed of
30m/sec at time t=0 and position x=0. The brakes/reverse thrust
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 = 0.2 sec-1
The minus sign indicates deceleration.
- Determine the equation for the speed v as function of time t.
- Based on your equation, at what time does the air plane have a velocity
of 3m/sec ?