Answer:
37.3 km/h at N 2.70° E
Step-by-step explanation:
Find the horizontal and vertical components of the initial velocity (u) and final velocity (v). Remember that N 55° E means 55° east of north.
uₓ = 55.0 km/h
uᵧ = 0 km/h
vₓ = 65.0 km/h × sin 55° = 53.24 km/h
vᵧ = 65.0 km/h × cos 55° = 37.28 km/h
Find the difference.
vₓ − uₓ = -1.76 km/h
vᵧ − uᵧ = 37.28 km/h
The magnitude is:
|v − u| = √((-1.76 km/h)² + (37.28 km/h)²)
|v − u| = 37.3 km/h
The direction is:
θ = tan⁻¹(37.28 / -1.76)
θ = 92.70°
θ = N 2.70° E