A car travels east for 15km at a speed of 30km/h .it then turns around and returns along the same path at 60km/h.what is the cars average velocity
To determine the car's average velocity, we need to calculate the total displacement (change in position) divided by the total time taken.
First, let's find the time taken for each leg of the trip:
For the first leg (15 km distance, 30 km/h speed), time taken = distance / speed = 15 km / 30 km/h = 0.5 hours.
For the second leg (15 km distance, 60 km/h speed), time taken = distance / speed = 15 km / 60 km/h = 0.25 hours.
Next, let's find the total displacement:
Since the car is traveling along the same path, the displacement during the first leg is +15 km (east direction) and during the second leg, it is -15 km (west direction).
The total displacement is the sum of these two displacements: +15 km - 15 km = 0 km.
Finally, let's find the total time taken:
The total time taken is the sum of the times for each leg: 0.5 hours + 0.25 hours = 0.75 hours.
Now, we can calculate the average velocity:
Average velocity = total displacement / total time taken = 0 km / 0.75 hours = 0 km/h.
Therefore, the car's average velocity is 0 km/h.
To determine the car's average velocity, we need to consider both the distance traveled and the time taken.
First, let's calculate the time taken for the car to travel east for 15 km at a speed of 30 km/h. We can use the formula:
Time = Distance / Speed
Time = 15 km / 30 km/h = 0.5 hours
Next, let's calculate the time taken for the car to return along the same path at a speed of 60 km/h. Again, we can use the formula:
Time = Distance / Speed
Time = 15 km / 60 km/h = 0.25 hours
Now, let's calculate the total time taken for the entire trip (going east and returning):
Total Time = Time taken to go east + Time taken to return
Total Time = 0.5 hours + 0.25 hours = 0.75 hours
Finally, let's calculate the average velocity using the formula:
Average Velocity = Total Distance / Total Time
Total Distance = Distance traveled east + Distance traveled back
Total Distance = 15 km + 15 km = 30 km
Average Velocity = 30 km / 0.75 hours = 40 km/h
Therefore, the car's average velocity is 40 km/h.