An airplane takes off at 10:00 AM and flies a straight path at 350 km/h until 1:00 PM. Its velocity then changes to 400km/h in the same direction until it lands at 3:30 PM. What is its average velocity for the entire flight?
(If you answer, pls write the solution. I really need it. Thank you!).
distance = speed * time = 350*3 + 400*2.5 = 2050 km
avg speed = distance/time = 2050/5.5 = 372 km/hr
The avg velocity is 372 km/hr in the direction taken.
Well, thank you for taking off with this question! Let's calculate the average velocity of the airplane for the entire flight.
To find the average velocity, we need to divide the total distance traveled by the total time taken. Let's break down the different segments of the flight:
Segment 1: The airplane flies at 350 km/h from 10:00 AM to 1:00 PM. So, the time taken here is 1:00 PM - 10:00 AM = 3 hours.
Distance covered in this segment = Speed × Time = 350 km/h × 3 hours = 1050 km.
Segment 2: The airplane flies at 400 km/h from 1:00 PM to 3:30 PM. The time taken here is 3:30 PM - 1:00 PM = 2.5 hours.
Distance covered in this segment = Speed × Time = 400 km/h × 2.5 hours = 1000 km.
Now let's calculate the total distance and total time for the entire flight:
Total distance = Distance in Segment 1 + Distance in Segment 2 = 1050 km + 1000 km = 2050 km.
Total time = Time in Segment 1 + Time in Segment 2 = 3 hours + 2.5 hours = 5.5 hours.
Finally, let's calculate the average velocity:
Average velocity = Total distance ÷ Total time = 2050 km ÷ 5.5 hours ≈ 372.72 km/h.
So, the average velocity for the entire flight is approximately 372.72 km/h.
To find the average velocity for the entire flight, we need to calculate the total displacement and divide it by the total time taken.
First, let's calculate the displacement during the first segment of the flight, from 10:00 AM to 1:00 PM.
Time taken during this segment = 1:00 PM - 10:00 AM = 3 hours
Velocity during this segment = 350 km/h
Displacement during this segment = Velocity * Time taken = 350 km/h * 3 hours = 1050 km
Next, let's calculate the displacement during the second segment of the flight, from 1:00 PM to 3:30 PM.
Time taken during this segment = 3:30 PM - 1:00 PM = 2.5 hours
Velocity during this segment = 400 km/h
Displacement during this segment = Velocity * Time taken = 400 km/h * 2.5 hours = 1000 km
Now, let's calculate the total displacement by summing up the displacements from both segments.
Total displacement = Displacement in first segment + Displacement in second segment
Total displacement = 1050 km + 1000 km = 2050 km
Next, let's calculate the total time taken for the entire flight.
Time taken for the first segment = 3 hours
Time taken for the second segment = 2.5 hours
Total time taken = Time taken for the first segment + Time taken for the second segment
Total time taken = 3 hours + 2.5 hours = 5.5 hours
Finally, let's find the average velocity by dividing the total displacement by the total time taken.
Average velocity = Total displacement / Total time taken
Average velocity = 2050 km / 5.5 hours
Average velocity ≈ 372.73 km/h
Therefore, the average velocity for the entire flight is approximately 372.73 km/h.
To find the average velocity, we need to calculate the total displacement and divide it by the total time.
Let's start by finding the total displacement during the flight. We can split the flight into two segments: segment 1 from 10:00 AM to 1:00 PM, and segment 2 from 1:00 PM to 3:30 PM.
Segment 1:
Time: 1:00 PM - 10:00 AM = 3 hours
Velocity: 350 km/h
Displacement for segment 1 = Velocity × Time = 350 km/h × 3 hours = 1050 km
Segment 2:
Time: 3:30 PM - 1:00 PM = 2.5 hours
Velocity: 400 km/h
Displacement for segment 2 = Velocity × Time = 400 km/h × 2.5 hours = 1000 km
Now, we can find the total displacement:
Total displacement = Displacement of segment 1 + Displacement of segment 2
= 1050 km + 1000 km
= 2050 km
Next, let's find the total time of the flight:
Time taken for segment 1 = 3 hours
Time taken for segment 2 = 2.5 hours
Total time = Time taken for segment 1 + Time taken for segment 2
= 3 hours + 2.5 hours
= 5.5 hours
Finally, we can calculate the average velocity:
Average velocity = Total displacement / Total time
= 2050 km / 5.5 hours
≈ 372.73 km/h
Therefore, the average velocity for the entire flight is approximately 372.73 km/h.