Question

examine the diagram below. motion of an object which of the above objects is moving the fastest? a. a b. b c. all 3 objects are moving at the same speed. d. c

Explanation:

Step1: Recall speed - distance - time relationship

Speed $v=\frac{d}{t}$, where $d$ is distance and $t$ is time. On a distance - time graph, the slope of the line represents the speed.

Step2: Analyze slopes of lines

For object A, in 3 seconds it travels 12 meters. So the slope (speed) $v_A=\frac{12}{3}=4$ m/s. For object B, in 4 seconds it travels 8 meters, so $v_B = \frac{8}{4}=2$ m/s. For object C, in 4 seconds it travels 4 meters, so $v_C=\frac{4}{4}=1$ m/s.

Step3: Compare speeds

Since $v_A = 4$ m/s, $v_B=2$ m/s and $v_C = 1$ m/s, object A has the highest speed.

Answer:

A. A