The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle of the particle's direction of travel as a function of time ( is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? (a) Number i (b) Number i 20° 0° -20° 10 t (s) Units Units 20

The x component of vector A is 8.7 units, and its y component is -6.5 units. What is the magnitude of A?

For vectors B = −3î − 7ĵ and A = −5î − 3ĵ, calculate the following. (a) A + B (Express your answer in vector form.) A + B =_______ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A + B. magnitude ______ direction ______ ° counterclockwise from the +x-axis   (b) A − B (Express your answer in vector form.) A − B =________ Enter the magnitude and direction (in degrees counterclockwise from the +x-axis) for A − B. magnitude ________ direction _______° counterclockwise from the +x-axis   (The _______ are where I am supposed to submit answers)

Vector V1 is 5.0 units long and points along the negative x-axis. Vector V2 is 10.0 units long and points at an angle of 30.0 degrees above the positive x-axis. (a) Find the x and y components of the vector sum V2 + V1 and then determine the magnitude and direction of the vector sum V2+V1. (b) Sketch the vector sum V2+V1 on a grid.

A vector A has a magnitude of 17 (in some unspecified units) and makes an angle of 23° with the x-axis, and a vector B has a magnitude of 24 and makes an angle of 70° with the x-axis. Compute the magnitudes and directions of the vectors. C = A + B (a) magnitude direction (b) C=A-B в magnitude direction (c) C = A + 4B magnitude direction (d) = -A-7B ℃ magnitude direction ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) ° (counterclockwise from the +x-axis) O (counterclockwise from the +x-axis)

A vector has the components Ax=22mAx=22m and Ay=16mAy=16m. a) What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units.   b) What angle does this vector make with the positive x axis? Express your answer to two significant figures and include appropriate units.

In the sum A + B = C, vector A has a magnitude of 12.2 m and is angled 44.3° counterclockwise from the +x direction, and vector has a magnitude of 15.4 m and is angled 10.7° counterclockwise from the -x direction. What are (a) the magnitude and (b) the angle (relative to +x) of B? State your angle as a positive number. (a) Number i (b) Number i ! Units Units m ° (degrees)

Consider two vectors A and B, expressed in unit vector notation as A = a1i + a2j and B = b1i + b2j. Enter an expression for the difference vector A - B in terms of quantities shown in the expressions and an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions.

Vector A has components Ax = 10.0 and Ay = -14.3. What is the magnitude A of this vector? Determine the angle 0 in degrees between the calculated vector and the +x-axis, measured counterclockwise from the +x-axis.

Hardy, an avid JikTeker decided to look at his wristwatch to tell his friend dolphins the current time. However, his dolphins only understand the time if it is stated in terms of the resultant vector when the hour hand and minute hand vectors are added together. Assume that both vectors point from the center, outward. The length of the hour hand is 6. 20 [cm]; while the length of the minute hand is 9. 50 [cm]. Assume the hour hand only moves every hour. Follow this format in answering each sub-item: a. Draw the position of the hour and minute hands on an analog clock for this time configuration. Label your illustration with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction. c Calculate for the resultant vector and express in the form required in each item. What should Hardy tell the dolphins if the current time is: 5:15 PM, in bearing form? В. 1:40 PM, in component form? A. B.