You are familiar with one-dimensional kinematics. now you will use your prior knowledge to analyze a situation involving two-dimensional motion. the video shows a "free-falling disk" in slow motion, with a superimposed grid and a frame counter that would allow you to make distance and time measurements right off the screen, without using any additional measuring equipment. by using the experimental data, you will discover the patterns in the motion of the disk and will be able to describe that motion quantitatively.

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west