we know that
The scalar magnitude of the velocity vector is the speed. The speed is equal to
in this problem we have
substitute in the formula
therefore
<u>the answer Part a) is</u>
the speed is equal to
<u>Part b) </u>Find the velocity
we know that
<u>Velocity </u>is a vector quantity; both magnitude and direction are needed to define it
in this problem we have
the magnitude is equal to the speed
therefore
<u>the answer Part b) is</u>
the velocity is
Part c)
we know that
the acceleration is equal to the formula
in this problem we have
substitute in the formula
therefore
<u>the answer Part c) is</u>
the acceleration is
This is an example of negative acceleration
What ever you do to one number you have to do to the other
C. The rate of change of the radius is a cubic relationship
The absolute value is 8 because the absolute value is opposite of -8.
Solve for x
so assuming that the fractions are
(9/4)-(1/*2x))=4/x then
get all x on one side
add 1/(2x) to both sides
9/4=(4/x)+(1/(2x))
make common denomators with x and 2x
common denomenator is 2x
4/x times 2/2=8/(2x)
9/4=8/(2x)+1/(2x)
add
9/4=9/(2x)
make common denomators with 4 and 2x
common denomator is 4x
9/4 times x/x=9x/(4x)
9/(2x) times 2/2=18/(4x)
9x/(4x)=18/(4x)
multiply both sides by 4x to clear fraction
9x=18
divide both sides by 9
x=2