Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Students have asked these similar questions
An airplane takes of heading east at a speed of 459 miles per hour at an angle of 15 degrees with the horizon. What are the magnitudes if the horizontal AND vertical components of the speed vector?
The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16 km/hr. The wind is pushing the same boat in a direction 81 degree south of east with a speed of 7 km/hr. Find the velocity vector of the boat's engine (relative to the water) if the boat actually moves due east at a speed of 50 km/hr relative to the ground.
Find the engine speed to push the boat and its direction.
An airplane is traveling due north at 600 mph. The wind is blowing southwest at 20 mph. The airplane's actual vector as measured from the ground will be given by Vg =Va+Vw What is the airplane's speed as measured from the ground? Round to the nearest mile per hour.
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- Find a unit vector in the same direction as v= (28,-21).arrow_forwardA pilot sets his airspeed to 500 km/h on a heading of North 65 degrees East . A strong wind is blowing 55 km/h in the direction of South 40 degrees East . Draw a position diagram to illustrate the word problem. Draw a vector diagram using the vectors in the problem to illustrate a vector representing the ground speed relative to earth.arrow_forwardIf a vector has direction angles alpha = pi/4 and beta = pi/3, find the third direction angle gamma.arrow_forward
- State the formula relates the dot product of vectors and to their lengths and the angle between them.arrow_forwardBased on the image below, use components to find the magnitude and direction of Vector A + Vector B, Vector A - Vector B and Vector B - Vector A.arrow_forwardHow long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]? Also, at what angle do the rays of the sun strike the ground?arrow_forward
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