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:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
Answer:
6 cheese pizzas
Step-by-step explanation:
3 / 9 = 3
3x2=6
Answer:
220°
Step-by-step explanation:
The bearing of B from A is
180° + 40° = 220°
Which of the following is an arithmetic sequence? 2, 4, 8, 16, ... 12, 4, 4/3, 16/3 ... 1/2, -1/2, -3/2, -5/2 ... 1/2, -1/2, 1/2
andre [41]
Answer:
the third one, because it has a common difference