Question

16 use the information and graph to answer the following question. a student is measuring and graphing the motion of a toy car. the car moves to the left with constant velocity along the number line as shown. -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 which of these statements correctly describes the slope of the graph and the velocity when the student constructs a position - time graph of the cars motion? a the slope will be negative but the velocity will be positive. b the slope will be negative and the velocity will be negative. c the slope will be positive and the velocity will be positive. d the slope will be positive and the velocity will be negative.

Explanation:

In a position - time graph, the slope represents velocity. Since the car moves to the left (in the negative direction on the number line), its displacement is decreasing with time. A decreasing displacement with time means a negative slope for the position - time graph, and also a negative velocity as velocity is the rate of change of displacement.

Answer:

B. The slope will be negative and the velocity will be negative.