Answer:
a) At x=14 the slope will be given by:
.
b) Then, the angle between the line and the pole will be:

where
is the angle between the tangent to the catenary and the x-axis.
Explanation:
The catenary has the following general form:

a) The slope at any point will be given by the derivative of y.

At x=14:
.
b) The angle between the tangent to the catenary and the x-axis at a given point will be given by:
⇒ 
Then, the angle between the line and the pole will be:
.
Explanation:
Given that,
Position of the particle at t = 0,

Velocity of the particle at t = 0

Acceleration of the particle,

Solution,
(a) Let v is the velocity at t = 10 s. Using the equation of kinematics as :



(b) Let y' is the position at t = 1 s. Again using second equation of kinematics as :



(c) Magnitude of y',

|y'| = 21.69 meters
Direction of the y',



Hence, this is the required solution.
Answer:

Explanation:

Round to three significant digits

Betelgeuse, the bright red star in the constellation of Orion the Hunter, is in the end stage of its stellar life. Astronomers have long thought it will someday explode to become a supernova. In late 2019 and early 2020, Betelgeuse generated a lot of
Explanation:
As the magnification is positive , thus the image formed is inverted and real