Two readings are taken from an aircraft's flight record
Time - 08:55 Distance travelled - 957
Time - 09:07 Distance travelled -1083
For the period of time between the two readings, how do i calculate
a)the distance travelled in kilometres and b)the average speed of the aircraft in km/h.
total distance ... just add them up
average speed = total distance/total time
To calculate the distance traveled in kilometers and the average speed of the aircraft, you need to follow a few steps:
a) Calculating the distance traveled in kilometers:
1. Convert the given distances from your readings to the same unit. In this case, convert them both to kilometers since you want the distance in kilometers.
- The first reading is already in kilometers (957).
- The second reading needs to be converted from miles to kilometers. To do this, multiply the distance in miles by 1.60934 (1 mile = 1.60934 kilometers). So, 1083 miles * 1.60934 = 1743.12722 kilometers.
2. The distance traveled during the period of time between the two readings can be found by subtracting the initial distance from the final distance:
- Final distance = 1743.12722 kilometers
- Initial distance = 957 kilometers
- Distance traveled = Final distance - Initial distance = 1743.12722 - 957 = 786.12722 kilometers.
b) Calculating the average speed in km/h:
1. Calculate the time difference between the two readings. In this case, the time difference is 09:07 - 08:55 = 12 minutes.
2. Convert the time difference to hours by dividing it by 60 (since there are 60 minutes in an hour):
- Time difference = 12 minutes / 60 = 0.2 hours.
3. To find the average speed, divide the distance traveled by the time taken:
- Distance traveled = 786.12722 kilometers
- Time taken = 0.2 hours
- Average speed = Distance traveled / Time taken = 786.12722 / 0.2 = 3930.6361 kilometers per hour.
So, the aircraft traveled approximately 786.12722 kilometers during the time between the two readings, and its average speed was approximately 3930.6361 kilometers per hour.