The rocket engine of a 10 tonne missile produces a thrust of 400 kN. The missile is launched in a vertical direction.

The rocket engine of a 10 tonne missile produces a thrust of 400 kN. The missile is launched in a vertical direction. The air resistance is 0.75v2 N where v is the speed of the missile.

(i) Find the speed of the missile after one minute.
(ii) Find the distance travelled by the missile after one minute.

(i) v = at is the speed of the missile after one minute.

(i) s = `1/2``"at"^2` is the distance travelled by the missile after one minute.