You drive a car 7 h at 42 km/h, then 7 h at 65 km/h. what is your average velocity? answer in units of km/h
To find the average velocity, we need to calculate the total distance traveled and the total time taken.
Let's start with the first leg of the trip, where you drove for 7 hours at a speed of 42 km/h. The distance covered can be found by multiplying the speed by the time:
Distance1 = Speed1 * Time1 = 42 km/h * 7 h = 294 km
For the second leg of the trip, you drove for another 7 hours at a speed of 65 km/h. Again, we calculate the distance covered:
Distance2 = Speed2 * Time2 = 65 km/h * 7 h = 455 km
To find the total distance, we add the distances covered in both legs:
Total Distance = Distance1 + Distance2 = 294 km + 455 km = 749 km
The total time is simply the sum of the times taken for both legs:
Total Time = Time1 + Time2 = 7 h + 7 h = 14 h
Now, we can find the average velocity by dividing the total distance by the total time:
Average Velocity = Total Distance / Total Time = 749 km / 14 h
Calculating this gives us the average velocity in units of km/h.