A car travels along a straight stretch of road.
It proceeds for 11.4 mi at 57 mi/h, then
21.8 mi at 43 mi/h, and finally 30.8 mi at
32.6 mi/h.
What is the car’s average velocity during
the entire trip?
Calculate the total distance
calculate the total time
average v = distance/time
To find the average velocity during the entire trip, we need to calculate the total displacement and total time taken.
The total displacement is the final position minus the initial position. In this case, since the car is traveling along a straight stretch of road, the displacement can be calculated as the sum of the individual displacements:
Displacement = 11.4 mi + 21.8 mi + 30.8 mi
Now let's calculate the total time taken. We'll divide each distance by its corresponding speed and add up the times:
Time = (11.4 mi / 57 mi/h) + (21.8 mi / 43 mi/h) + (30.8 mi / 32.6 mi/h)
Once we have the total displacement and total time, we can calculate the average velocity:
Average velocity = Total displacement / Total time
Let's plug in the values and solve the equation to find the answer.