A space ship of mass 5.00 × 18*4 kg is traveling at a speed 1.15 × 10*4 m/s in outer
space. Except for the force generated by its own engine, no other force acts on
the ship. As the engine exerts a constant force of 4.00 × 10*5 N, the ship moves a
distance of 2.50 × 10*6 m in the direction of the force of the engine.
(a) Determine the final speed of the ship using the work-energy theorem.
(b) Determine the final speed of the ship using the kinematic equations.

1. Work out the kinetic energy of the space ship. E_\small{K} = \frac12 mv^2
Work out the work done by the ship Work = Force \times Displacement
Work out the total energy the ship possesses.
Work out the speed of the ship using E_\small{K} = \frac12 mv^2.

2. The initial speed is 1.15 x 10^4 m/s.
Find the acceleration of the ship using F = ma
Use v^2 = u^2 +2as to find the final speed of the ship. (v = final velocity, u, the initial velocity, a the acceleration and s the displacement)