Question

question 10 (1 point)a car is driven at 50 km/h n for 0.5 h, and then at 100 km/h w for 0.25 h. which statement is true?a) the average velocity of the car is 80 km/h nw.b) the average velocity of the car is 70 km/h nw.c) the average velocity of the car is 50 km/hnw.d) the average velocity of the car cannot be determined.○ a○ b○ c○ dpage 2 of 4

Explanation:

Step1: Calculate distance North

$\text{Distance}_N = 50 \, \text{km/h} \times 0.5 \, \text{h} = 25 \, \text{km [N]}$

Step2: Calculate distance West

$\text{Distance}_W = 100 \, \text{km/h} \times 0.25 \, \text{h} = 25 \, \text{km [W]}$

Step3: Find total displacement magnitude

$$\text{Displacement} = \sqrt{(25)^2 + (25)^2} = 25\sqrt{2} \approx 35.36 \, \text{km [NW]}$$

Step4: Calculate total time

$\text{Total Time} = 0.5 \, \text{h} + 0.25 \, \text{h} = 0.75 \, \text{h}$

Step5: Compute average velocity

$\text{Average Velocity} = \frac{35.36}{0.75} \approx 47.15 \, \text{km/h [NW]}$

Step6: Evaluate given options

None of the options a, b, c match the calculated value.

Answer:

d) The average velocity of the car cannot be determined.