two cars start at the same time and travel in the same direction along a straight road. the figure below…

two cars start at the same time and travel in the same direction along a straight road. the figure below gives the velocity, v (in km/hr), of each car as a function of time (in hr). the velocity of car a is given by the solid, blue curve, and the velocity of car b by dashed, red curve. (a) which car attains the larger maximum velocity? a. a b. b (b) which stops first? a. a b. b (c) which travels farther? a. a b. b

two cars start at the same time and travel in the same direction along a straight road. the figure below gives the velocity, v (in km/hr), of each car as a function of time (in hr). the velocity of car a is given by the solid, blue curve, and the velocity of car b by dashed, red curve. (a) which car attains the larger maximum velocity? a. a b. b (b) which stops first? a. a b. b (c) which travels farther? a. a b. b

Answer

Explanation:

Step1: Analyze maximum velocity

By observing the graph, the dashed - red curve (car B) reaches a higher peak value of velocity compared to the solid - blue curve (car A).

Step2: Analyze stopping time

The velocity of car B drops to zero before the velocity of car A drops to zero. So car B stops first.

Step3: Analyze distance traveled

The distance traveled by a car is given by the area under the velocity - time curve. The area under the solid - blue curve (car A) is larger than the area under the dashed - red curve (car B), so car A travels farther.

Answer:

(a) B. B (b) B. B (c) A. A