Question

1 multiple choice 0.5 points during which interval is the car’s velocity negative? x (meters) 6 e 5 a 4 to 3 and e? 2 d vhich 1 b c t (hours) 1 2 3 4 5 6 e to end c to d a to b d to e

Explanation:

Step1: Recall velocity on x-t graph

Velocity is the slope of position-time ($x$-$t$) graph: $v = \frac{\Delta x}{\Delta t} = \frac{x_2 - x_1}{t_2 - t_1}$. Negative velocity means negative slope (position decreases with time).

Step2: Analyze each interval slope

• E to end: Slope = $\frac{5-5}{t_{end}-6}=0$ (zero velocity)
• C to D: Slope = $\frac{2-1.5}{5-2}>0$ (positive velocity)
• A to B: Slope = $\frac{1.5-4}{1.5-0}<0$ (negative velocity)
• D to E: Slope = $\frac{5-2}{6-5}>0$ (positive velocity)

Answer:

A to B