Average Speed Of Plane Math
Since the airplane had a headwind going and a tailwind returning with a the airspeed and w the wind speed.
Average speed of plane math. R is the speed of the slower plane. Calculate average speed when a plane is flying from one city to another and is 550 miles per hour and is 430 miles per hour on the return flight. Where v is the velocity d is the distance and t is the time so you can read it as speed distance time. So seconds cancel out and we re left with kilometers per hour.
The formula for distance is. The speed of the plane is 399. The formula for average speed also called average velocity in physics and engineering is. So this is equal to 37 4 kilometers per hour.
But now we have to multiply this number times 3 600. Distance rate time. Write a time equation. Set up the formula for average speed given two speeds used for the same amount of time.
Distance rate x time. 2r is the speed of the faster plane. The average speed is 54 miles per hour. V d t.
As noted above make sure you convert the units appropriately first or use our speed calculator which does that automatically. Total distance 50 3 60 2 270. With the wind it travels 399 49 448 mph 800 448 1 and 352 448 1 and 11 14 reduces by gcf of 32 found using euclid s method or just over 1 hour and 47 minutes and 8 5 seconds. The formula is s a b 2 displaystyle s frac a b 2 where s displaystyle s equals the average speed a displaystyle a equals the speed for the first half of the time and b displaystyle b equals the speed for the second half of the time.
So we have 0 0104 times 3 600 gives us i ll just say 37 4. On the return flight the airplane makes good a ground speed of 348 2 174 miles per hour. So that s his average speed in kilometers per hour. I ll get the calculator out for that.
You will get the wrong answer if you add the two speeds and divide the answer by two. Let a the average speed for the round trip let d the one way dist.