10. sketch the velocity - time graph for each motion. a. a city bus moving with constant velocity. b. an…

10. sketch the velocity - time graph for each motion. a. a city bus moving with constant velocity. b. an iguana that slows to rest at constant acceleration.

10. sketch the velocity - time graph for each motion. a. a city bus moving with constant velocity. b. an iguana that slows to rest at constant acceleration.

Answer

Explanation:

Step1: Recall velocity - time graph for constant velocity

For an object moving with constant velocity, the velocity does not change with time. So the velocity - time graph is a horizontal line. Let the velocity of the city bus be (v_0). The equation of the line is (v = v_0), where (v) is velocity and (t) is time.

Step2: Recall velocity - time graph for constant acceleration

The velocity - time relation for an object with constant acceleration (a) starting with an initial velocity (v_0) and coming to rest ((v = 0)) is given by (v=v_0+at). Since the iguana is slowing down, (a<0). It is a straight - line with a negative slope. When (t = 0), (v = v_0) and as (t=\frac{-v_0}{a}), (v = 0).

Answer:

a. A horizontal line on the velocity - time graph representing the constant velocity of the city bus. b. A straight line with a negative slope on the velocity - time graph starting from an initial non - zero velocity and ending at zero velocity as the iguana comes to rest.