QUESTION IMAGE
Question
- decide if the following are vector or scalar quantities: a. speed __________ b. displacement ________ c. distance ________ d. velocity ________ e. acceleration __________
Step1: Recall scalar - vector definitions
A scalar quantity has only magnitude, while a vector quantity has both magnitude and direction.
Step2: Analyze speed
Speed is the rate of change of distance. It has only magnitude (e.g., 50 km/h). So it is a scalar.
Step3: Analyze displacement
Displacement is the change in position of an object. It has both magnitude (e.g., 10 meters) and direction (e.g., 10 meters east). So it is a vector.
Step4: Analyze distance
Distance is the total path length traveled. It has only magnitude (e.g., 20 kilometers). So it is a scalar.
Step5: Analyze velocity
Velocity is the rate of change of displacement. It has both magnitude (e.g., 30 m/s) and direction (e.g., 30 m/s north). So it is a vector.
Step6: Analyze acceleration
Acceleration is the rate of change of velocity. It has both magnitude (e.g., 2 m/s²) and direction (e.g., 2 m/s² upwards). So it is a vector.
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