You can easily see that
In fact, you have
This kind of transformation, where you add a constant to change
result in a vertical translation, k units up if , k units down if
So, in this case, the graphs of f(x) and g(x) have the same shape, and they are vertically shifted 5 units apart, g(x) is higher and f(x) is lower.
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.