Question

multiple choice 0.5 points what is the average velocity from a (0 s) to f (50 s)? 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 +0.46 m/s -1.66 m/s -0.46 m/s +1.66 m/s

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: Identify initial/final values

$x_i = 30\ \text{m}$, $t_i = 0\ \text{s}$; $x_f = -53\ \text{m}$, $t_f = 50\ \text{s}$

Step3: Calculate displacement and time change

$\Delta x = -53 - 30 = -83\ \text{m}$, $\Delta t = 50 - 0 = 50\ \text{s}$

Step4: Compute average velocity

$\bar{v} = \frac{-83}{50} = -1.66\ \text{m/s}$

Answer:

-1.66 m/s