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problems with solutions

Topic:Vectors

I.D Level Problem Problem Topic
355 High school Vector A has a magnitude of 4.00 units, vector B has a magnitude of 5.00 units, and the dot product A . B has a value of 18. what is the angle between the directions of A and B ? . . . continues
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Vectors
356 High school Oasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 10 degree south of east and then walks 8.0 km due north. How far is the camel then from oasis B ? . . . continues
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Vectors
364 High school After touching down on a runway , an airplane is brought to a stop in 15 seconds . If the acceleration of the plane was a constant -6.5 m/s^2 , what was the speed of the plane at touchdown ? . . . continues
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Vectors
365 High school A jet fighter plane is launched from a catapult on an aircraft carrier , and this requires 3.0 seconds . Assume the acceleration is constant , what is the length of the catapult ? . . . continues
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Vectors
366 High school You are in a motorboat that moves at 40 km/hr in still water . How long will it take you to travel 15 km upstream in a river flowing at 6 km/hr ? . . . continues
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Vectors
367 High school A brick is thrown horizontally from the top of a building with an initial speed of 15 m/s. It strikes the ground after 3 seconds. How high is the building ? . . . continues
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Vectors
370 High school Vector A has a magnitude of 48 units and points due west , while vector B has the same magnitude but points due south . Determine the magnitude and direction of

(a) A+B

(b) A-B

Specify the direction relative to due west . . . continues
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Vectors
371 High school The magnitude of the force vector F is 280 newtons . The x component of this vector is directed along the +x axis and has a magnitude of 150 newtons . The y component points along the +y axis

(a) Find the direction of F relative to the +x axis

(b) Find the component of F along the +y axis

. . . continues
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Vectors
372 High school Two buses depart from Chicago , one going to Newt York and one to San Francisco . Each bus travels at the speed of 30 m/s . Do they have equal velocities ? Explain . . . . continues
Solution:
No. they do not have the same velocity . The velocity is a vector and has magnitude as well as direction . So , the speed of the two buses traveling to New York and to San Francisco are the same but the direction are different . Thus velocities are not equal .
Vectors
394 High school

Vector - Magnitude

(a) If Vx = 19.40 units and Vy = -15.80 units , determine the magnitude of V.

(b) Determine the angle of V with respect to the x-axis .

. . . continues
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Vectors
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