Physics, 28.06.2019 18:00 fazeyeezy004

Aplane has a cruising speed of 250 miles per hour when there is no wind. at this speed, the plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. find the speed of the wind.

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Answer from: haydonmetzger

V = speed of the plane with no wind = 250 mph

v = speed of wind

consider the motion of the plane while traveling with the wind :

V' = speed of plane travelling in the direction of wind = V + v = 250 + v

d' = distance traveled = 300 miles

t' = time taken to travel the distance

time taken to travel the distance is given as

t' = d'/V'

t' = 300/(250 + v) eq-1

consider the motion of the plane while traveling against the wind :

V'' = speed of plane travelling against the direction of wind = V - v = 250 - v

d'' = distance traveled = 200 miles

t'' = time taken to travel the distance

time taken to travel the distance is given as

t'' = d''/V''

t'' = 200/(250 - v) eq-2

Given that :

time taken to travel 300 miles = time taken to travel 200 miles

t' = t''

using eq-1 and eq-2

300/(250 + v) = 200/(250 - v)

3/(250 + v) = 2/(250 - v)

750 - 3 v = 500 + 2 v

5 v = 250

v = 50 mph

Answer from: Quest

it is called kinetic energy

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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Aplane has a cruising speed of 250 miles per hour when there is no wind. at this speed, the plane fl...

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