A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is blowing due north with a speed of 40 mi/h (a) Express the velocity of the wind as a vector in component form, and write the vector in terms of the vectors i and j. (b) Express the velocity of the jet relative to the air as a vector in component form, and write the vector in terms of the vectors i and j. (c) Find the true velocity of the jet as a vector, and write the vector in terms of the vectors i and j. (d) Find the true speed of the jet. (Round your answer to the nearest integer.)
units mph (a) 40j (b) 450i (c) 450i + 40j (d) 452
What´s the procedure?
And thanks a lot!!!
velocity of the jet is 450 east and it's relative to air which is 40 north. taking the directions of i and j towards East and North respectively, one can see, that the velocity of the jet with respect to a stationary frame of reference would be 450 toward East (450i) plus velocity of air 40 north (40j). (450i simply means 450 mph in the direct of i, where, i is a unit vector in the direction of X axis) for absolute velocity, you will have to take the square root of the sum of the squares of x and y components. ie., \[\sqrt{450^2 + 40^2}\]
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