Question

A jetliner flies east for 650. 0 km, then turns 30. 0° toward the south and flies another 134 km. Moving at a constant speed of 400. 0 km/h, how long would the direct flight have taken?



h

Answer 1

The time of motion of the jetliner for direct flight, taking into consideration the displacement of the jetliner from the initial position is 1.9 h.

Time of motion of the Jetliner for direct flight

The time of motion of the jetliner for direct flight we take into consideration the displacement of the jetliner from the initial position.

Displacement of the Jetliner

The displacement of the Jetliner from the initial position is calculated as follows;

R² = a² + b² + 2abcosR

R² = 650² + 134² + 2(650)(134)cos(30)

R² = 591,317.6

R = √591,317.6

R = 768.97 km

Time of motion

The time of motion is calculated as follows;

t = R/v

t = 768.97/400

t = 1.9 h

Thus, the time of motion of the jetliner for direct flight, taking into consideration the displacement of the jetliner from the initial position is 1.9 h.

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