Question

extra practice problem #1
position vs. time
describe the speed and direction of blue line based on its graph.
speed is 0.6 m/s
describe the speed and direction of purple line based on its graph.
type here

Explanation:

Step1: Identify slope formula

Speed = $\frac{\text{Change in Position}}{\text{Change in Time}}$

Step2: Calculate for purple line

$\text{Speed} = \frac{6 - 0}{10 - 0} = \frac{6}{10} = 0.6$ m/s

Step3: Determine direction

Position decreases over time, so motion is toward the reference point (negative direction relative to starting position).

Answer:

For the purple line: Speed is 0.6 m/s, moving toward the reference point (position decreases as time increases).
For the blue line: Speed is 0.6 m/s, moving toward the reference point (position decreases as time increases, as $\frac{9 - 3}{10 - 0} = 0.6$ m/s).