Question

4 multiple choice 0.5 points what is the average speed from a to f? 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 1.66 m/s 0.54 m/s 2.54 m/s 3.66 m/s

Explanation:

Step1: Calculate total distance traveled

First, find the distance between each consecutive position and sum them:
Distance A to B: $|52 - 30| = 22$ m
Distance B to C: $|38 - 52| = 14$ m
Distance C to D: $|0 - 38| = 38$ m
Distance D to E: $|-37 - 0| = 37$ m
Distance E to F: $|-53 - (-37)| = 16$ m
Total distance: $22 + 14 + 38 + 37 + 16 = 127$ m

Step2: Calculate total time elapsed

Total time from A to F: $50 - 0 = 50$ s

Step3: Compute average speed

Average speed = $\frac{\text{Total Distance}}{\text{Total Time}}$
$\text{Average Speed} = \frac{127}{50} = 2.54$ m/s

Answer:

2.54 m/s