Answer:
Angle = Ф = (0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
Step-by-step explanation:
Given vector r(t) =
As we know that,
velocity vector = v =
Implies that
velocity vector =
As acceleration is velocity over time so:
acceleration vector = a =
Implies that
vector a =
vector a =
Now scalar product of position vector r and acceleration vector a:
r. a =
r.a =
r.a = 0
Now, for angle between position vector r and acceleration vector a is given by:
cosФ = =
Ф = (0) = 0
Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.
A isosceles triangle has two sides which are the same. So, we know two of the sides of the triangle are 6 square root 2. (6 square root 2)^2 + ( 6 square root 2) ^2 = (h)^2 -> 72 + 72 = (h)^2 -> 144 = h^2 - > h = 12
Hope this helps! I had to write out square root because I don't have the symbol.
Answer:
The difference between the times is just 6.09
Step-by-step explanation:
Here, we are interested in finding the difference between the times when two athletes finished their races.
While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;
Mathematically, that would be 24.53 - 18.44 = 6.09
The answer is in the screenshot
Answer:
Option A) (6, 0)
Step-by-step explanation:
we have
Isolate the variable y
Divide by -2 both sides
Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution of the inequality is the shaded area below the solid line
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must lie in the shaded area of the solution set
so
(6,0) ----> belong to the shaded area
(-6,0) ---> not belong to the shaded area
(1,6) --> not belong to the shaded area
(-1,6) --> not belong to the shaded area
therefore
(6,0) is in the solution set