Explanation:
The mechanical energy can be expressed as kinetic and potential energy, given by the equation;
ME=KE+PE
but since the car isn't elevated off the ground nor is it subjected to the restoring force of a spring, we can then say PE=0
ME=KE
The equation of KE=0.5mv²
ME=0.5mv²
32 000=0.5(1600)v²
[tex]v {}^{2} = \frac{32 \: 000}{1600 \times 0.5} [/tex]
[tex]v {}^{2} = \frac{32 \: 000}{800} [/tex]
[tex] {v}^{2} = 40[/tex]
[tex]v = \sqrt{40} = 6.324[/tex]
v=6.324 m/s :)
