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

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.

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.

A vector 'A' has components Ax = −6.00 m and Ay = 6.50 m. Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units Units