Those lines stand for the absolute value, or how far away it is from zero.
If you draw a number line from -3 to 3, and plot the points x = 2 and x = -2, what similarities do you see?
Although one is two units to the right of 0 and one is two units to the left of 0, both x = 2 and x = -2 are two units away from zero. Therefore, the absolute value of both 2 and -2 is 2.
Answer:
13
-1
675
3
Step-by-step explanation:
Answer:
See explanation.
Step-by-step explanation:
Let us first analyze some principle theory. By definition we know that the velocity (
) is a function of a distance (
) covered in some time (
), whilst acceleration (
) is the velocity achieved in some time. These can also been expressed as:
and 
We also know that both velocity and acceleration are vectors (therefore they are characterized by both a magnitude and a direction). Finally we know that given a position vector we can find the <u>velocity and the acceleration</u>, by differentiating the vector with respect to time, once and twice, respectively.
Let us now solve our problem. Here we are givine the Position vector of a particle P (in two dimensional space of
) as:
Eqn.(1)
Let us solve.
<u>Part (a) Velocity: </u><u>we need to differentiate Eqn.(1) with respect to time as:</u>
Eqn.(2)
<u>Part (b) Acceleration: </u><u>we need to differentiate Eqn.(2) with respect to time as:</u>
<u />
<u />
<u />
Thus the expressions for the velocity and the acceleration of particle P in terms of t are
and 