A car drives with a velocity of 45 km/h (N 35 E) for 2.8 hour. After doing so, it turns sharply and drives with a velocity of 67 km/h (S 65 E) for an addition 3 hours. Determine the velocity that it must drive in order to return to its original position in 3.5 hours. Draw a diagram and include the direction.

Equations:

a^2 = b^2 + c^2 - 2bc cos A

cos A= b^2 + c^2 - a^2/ 2bc

Vav = d/t

Aav=v/t