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.
Answer:
18 minutes
Step-by-step explanation:
Given that:
The arrival time = 3 customers / hour
The avg. service rate (s) = 12 minutes per customer
To hour, we have:
s = 5 customers/ hour
Thus, the required average time for a customer needs to wait in line is:
To minutes;
= 18 minutes
Answer:
g(6)=21
Step-by-step explanation:
Given g(x)= 3x+3, Find g(6)
1. Replace g(x) with g(6), and x with 6. The equation will now look like this: g(6)=3(6)+3
2. Multiply 3 and 6, to equal 18. The equation will now look like this: g(6)=18+3
3. Add 18 and 3 to equal 21. The Answer is g(6)=21
Answer:
Step-by-step explanation:
Substitute x and y values for zero. Or
Twenty two is less than x
