A local weather report gives the following information for a particular afternoon: •…

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A local weather report gives the following information for a particular afternoon: • The air temperature is 5 ∘C5\,^{\circ}\text{C}. • A steady wind of 20 km h−120\,\text{km}\,\text{h}^{-1} is blowing from the northeast. • The wind-chill index makes it "feel like" −2 ∘C-2\,^{\circ}\text{C} to exposed skin. (a) Classify each of the following as a scalar quantity or a vector quantity, and justify your choice in each case. i. Air temperature ii. Wind speed (20 km h−120\,\text{km}\,\text{h}^{-1}) iii. Wind velocity (20 km h−120\,\text{km}\,\text{h}^{-1} from the northeast) (b) Explain why the wind-chill index, which represents how cold the air "feels," is considered a scalar even though it is influenced by a moving wind. (c) Overnight, the temperature is forecast to change at a rate of −3 ∘C h−1-3\,^{\circ}\text{C}\,\text{h}^{-1}, with colder air moving southward. Classify the rate of temperature change as scalar or vector, stating clearly whether its sign or any directional information influences your classification.

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