1-Calculate the resultant velocity in m/s of an airplane that normally flies at

Question

1-Calculate the resultant velocity in m/s of an airplane that normally flies at 216 km/h if it encounters a 47-km/h wind from the side (at a right angle to the airplane.)?

2-Calculate the resultant velocity in km/h of an airplane that normally flies at 171 km/h if it encounters a 59-km/h wind from the side (at a right angle to the airplane.)?

3-Calculate the acceleration (in m/s2) of a 120,000-kg jumbo jet just before takeoff when the thrust on the aircraft is 260,000 N (ignoring any air resistance on the aircraft).

Explanation / Answer

Part 1)

216 km/hr converts to 60 m/s

47 km/hr converts to 13.1 m/s

The resultant is from the Pythagorean Theorem

v2 = 602 + 13.12

v = 61.4 m/s

Part 2)

v2 =1712 + 592

v = 181 km/hr

Part C)

F = ma

260000 = 120000(a)

a = 2.17 m/2

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