Respuesta :
Answer:
The average velocity is 40km/h.
Explanation:
The average velocity is [tex]\bar{v}=\frac{\Delta x }{\Delta t}[/tex], where [tex]\Delta x[/tex] is the distance traveled and [tex]\Delta t[/tex] the time elapsed.
The distance traveled is clearly 80km since it's all done in the same direction, we only need to know the time elapsed. For this we calculate the time elapsed on the first part, and add it to the time elapsed on the second part using always the formula [tex]\Delta t=\frac{\Delta x }{v}[/tex], where v is the velocity on each part, which is constant.
The time elapsed for the first part is [tex]\Delta t_1=\frac{40 km}{30km/h}=\frac{4}{3}h[/tex], and the time elapsed for the second part is [tex]\Delta t_2=\frac{40 km}{60km/h}=\frac{2}{3}h[/tex], giving us a total time of [tex]\Delta t_1+\Delta t_2=\frac{4}{3}h+\frac{2}{3}h[/tex]=2h.
Finally, we can calculate the average velocity: [tex]\bar{v}=\frac{80km}{2h}=40km/h[/tex].
The total displacement traveled by an object divided by the total time taken is the average speed. The average velocity of the car during the full 80 km trip will be 40km/h.
What is the average velocity?
The total displacement traveled by an object divided by the total time taken is the average velocity. It is a vector quantity. It is a time-based component.
The time for the first part
[tex]\rm \triangle t_1=\frac{\40}{30} \\\\ \rm \triangle t_1=\frac{4}{3}\ h[/tex]
The time for the second part
[tex]\rm \triangle t_1=\frac{\40}{60} \\\\ \rm \triangle t_1=\frac{2}{3}\ h[/tex]
The total traveling time = [tex]\RM \frac{4}{3} +\frac{2}{3} = 2\ h[/tex]
The value of the average velocity is found by;
[tex]\rm \vec v= \frac{80}{2} = 40 \ Km /h[/tex]
Hence the average velocity of the car during the full 80 km trip will be 40km/h.
To learn more about the average velocity refer to the link;
https://brainly.com/question/862972
