If A = (12i - 16j) and B = (-24i+10j), what is the magnitude of the vector C=(2A-B)?

Answers:
a) 42
b) 22
c) 64
d) 90

An archer shoots an arrow with a velocity of 45 m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?

Answers:
a) 4.7 m
b) 47.0 m
c) 5.6 m
d) 56.0 m

Thank you.

Solution Summary

This solution is provided in 124 words in an attached .doc file. It uses simple calculation to find the magnitude of a vector and uses a diagram to as well as calculations to find height.

If Displacement vector A points due east and has a magnitude of 2.00 km. Displacement vector B points due north and has a magnitude of 3.75 km. Displacement vector C points due west and has a magnitude of 2.50 km. Displacement vector D points due south and has a magnitude of 3.00 km. How can I find the magnitudeand direction (

When two vectors A and B are drawn from a common point, the angle between them is (phi) .
If A and B have the same magnitude, for which value of (phi) will their vector sum have the same magnitude as A or B?
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Three hori

1. Vector A = 119 grams @ 164°. What is Ax ?
2. Vector A = 119 grams @ 164°.What is Ay ?
3. Vector B = (114) xunit vector + (-32.8) yunit vector. Assume [grams] as the unit. What is the magnitude of B?
4. Vector B = (114) xunit vector + (-32.8) yunit vector. Assume [grams] as the unit. What is the direction of B in ra

11. You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 2.0° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?
21.

Two vectors having equal magnitudes (A) makes an angle z with each other. Find the magnitudeand direction of the resultant and prove that the resultant of two equal vectors bisects the angle between them.

** Please see the attached file for the complete problem description **
Velocity and acceleration: consider a velocity vector given in standard unit vector form in rectangular Cartesian coordinates as ____ (please see the attached file).
a. What is the acceleration at 2 seconds?
b. What is the displacement at 5 seconds?
c.

See the attached file.
Could you please provide the answers and workings out to the following physics problems.
8. which one of the following quantities is a vector quantity?
a) the age of the earth
b) the mass of a football
c) the earth's pull on your body
d) the temperature of an iron bar
e) the number of people atte

When a truck creeps along in traffic at a speed of 5 m/s, a man walks diagonally across the back of the truck at 3m/s. To a traffic helicopter in a stationary position above the road the road, the man's apparent motion is the superposition of these two motions; that is, his apparent velocity is the vector sum of the two given ve