Question

anize the following quantities into scalars and vectors.
scalar and vector quantities
scalar vector
100 miles to the north 40 km velocity displacement
distance 30 m/s east speed 18 mph

Explanation:

Step1: Recall definitions

A scalar quantity has only magnitude. A vector quantity has both magnitude and direction.

Step2: Analyze each quantity

• 40 km: Only magnitude (distance), so scalar.
• Distance: Only magnitude, so scalar.
• Speed: Only magnitude (rate of change of distance), so scalar.
• 18 mph: Only magnitude (speed), so scalar.
• 100 miles to the north: Has magnitude (100 miles) and direction (north), so vector.
• Velocity: Has magnitude (speed) and direction, so vector.
• Displacement: Has magnitude (distance between initial and final position) and direction, so vector.
• 30 m/s east: Has magnitude (30 m/s) and direction (east), so vector.

Answer:

Scalar: 40 km, Distance, Speed, 18 mph
Vector: 100 miles to the north, Velocity, Displacement, 30 m/s east