Q3. A car is initially heading east at 55.0 km h when it turns a corner and heads N 55° Eat 65.0 km h -1. Determine the change in the velocity of the car during this time.

37.3 km/h at N 2.70° E

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

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.