Question

multiple choice 0.5 points during which interval is the average velocity positive? table 2.1 position of the car at various times position t (s) x (m) a 0 30 b 10 52 c 20 38 d 30 0 e 40 -37 f 50 -53 b to c a to b d to e c to d

Explanation:

Step1: Recall average velocity formula

Average velocity: $\bar{v} = \frac{\Delta x}{\Delta t} = \frac{x_f - x_i}{t_f - t_i}$

Step2: Calculate A to B velocity

$\bar{v}_{A\to B} = \frac{52 - 30}{10 - 0} = \frac{22}{10} = 2.2 \, \text{m/s}$

Step3: Calculate B to C velocity

$\bar{v}_{B\to C} = \frac{38 - 52}{20 - 10} = \frac{-14}{10} = -1.4 \, \text{m/s}$

Step4: Calculate C to D velocity

$\bar{v}_{C\to D} = \frac{0 - 38}{30 - 20} = \frac{-38}{10} = -3.8 \, \text{m/s}$

Step5: Calculate D to E velocity

$\bar{v}_{D\to E} = \frac{-37 - 0}{40 - 30} = \frac{-37}{10} = -3.7 \, \text{m/s}$

Answer:

A to B