Physics Vectors Level: Misc Level

Sum of Three Vectors

The figure below shows three vectors of lengths A=68.5, B=40.4, and C=44.4. The angles are 0a=27.9% and 0b=55%, and C points along the negative y-axis.(a) Determine the length of the vector A-B+C.

(b) Calculate the angle of this vector.

Physics Vectors Level: Misc Level

The figure below shows three vectors of lengths A=63.9, B=38.4, and C=44.6.The angles are 0a=28.0% and 0b=54.9%, and Cpoints along the negative y-axis. (a) Determine the length of the vector A-C..

(b) Calculate the angle of this vector.

Physics Vectors Level: Misc Level

A basketball player runs down the court, following the path indicated by the vectors A,B,and C in the figure below. The magnitudes of these three vectors are A=11.1 m,B=22.8 m,and C=6.95 m. And as shown, 01=45.8% and 02=27.7% (a) Calculate the magnitude of the net displacement of this player.

b) What is the direction of the displacement of this player? Give the angle counterclockwise relative to the right.

Physics Vectors Level: Misc Level

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.

Physics Vectors Level: Misc Level

3.55 The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.20 m/s in a direction 30 degrees east of north realtive to the earth.It encounters a wind that has a velocity of 4.50 m/s in a direction of 50 degrees south of west relative to the earth. What is the velocity of the wind relative to the water?

Physics Vectors Level: Misc Level

3.53 A jet airplane has an air speed of 260 m/s in a direction 5 degrees south of west. If is in the jet stream, which is blowing at 45.0 m/s in a direction 20 degrees south of east. What is the velocity of the airplane relative to the earth?

Physics Vectors Level: Misc Level

a person movers 30 m north, then 20 m east then 30 square root 2 m south west his displacement from the original opsition is?

Physics Vectors Level: Misc Level

A grasshopper makes four jumps. The displacement vectors are (1)27.0 cm, due west: (2) 23.0 cm ,35.0 degrees south of west: (3) 28.0 cm, 55,0 degrees south of east: and (4) 35.0 cm, 63,0 degrees north of east. Find the magnitude and direction of the resultant displacement. Express the direction with respect to due west.

Physics Vectors Level: Misc Level

A force of magnitude N makes an angle of 225^{o }with the positive x- axis. Find the x and y scalar components of the vector.

Physics Vectors Level: Misc Level

A radar antenna is tracking a satellite orbiting the earth. At a certain time, the radar screen shows the satellite to be 162 km away. The radar antenna is pointing upward at an angle of 62.3 degree from the ground. Find the x and y components ( in km ) of the position of the satellite.

Physics Vectors Level: Misc Level

A car makes a trip due north for 3 /4 ths of the time and due south 1/4 th of the time. The average northward velocity has a magnitude of 27 m/s, and the average southward velocity has a magnitude of 17 m/s. What is the average velocity, magnitude and direction, for the entire trip?

Acceleration

Physics Vectors Level: Misc Level

An object moves with constant (non-zero) acceleration. Which of these statements is/ are true?

a) The position must be increasing.

b) The acceleration must be increasing.

c) The velocity must continually change by the same amount.

d) The velocity must continually change by varying amounts depending on the speed.

e) The velocity must be decreasing.

Physics Vectors Level: Misc Level

A person walks on level ground 1.10 km east.Then 200.00 m south, and then climbs to a level on a monument that is 164.00 m from the ground. What is the displacement of the person in meter?

a) 783.15

b) 884.95

c) 1000.00

d) 1130.00

e) 1276.95

Physics Vectors Level: Misc Level

Two displacement vectors have magnitude 5.0 m and 7.0 m. Which of these statements is /are true?

a)When vectors are added the magnitude of the sum could be 4.0 m.

b)If the magnitude of the sum of the two vectors is 12 m, the angle between them must be 0 deg.

c)If the magnitude of the sum of the two vectors is 2 m, the angle between them must be 180 deg.

d)Only vectors of equal magnitude can be added together.

e)When these vectors are added, the magnitude of the sum could be larger than 12 m.

Physics Vectors Level: Misc Level

A football player runs the pattern given in the drawing by the three direction vectors A, B, C, The magnitudes of these vectors A =5.00 m, B =15 ms C =18.0 m. Using he component method, find the magnitude and direction of resultant vector.