The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly 1.5 million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of 18 hexagonally shaped segments that when fitted together will be 6.5 min diameter (over 2.5 times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space. The primary mirror when pieced together will function as a parabolic mirror with a focal length of 131.4 m . Suppose that a coordinate system is chosen with 0 , 0 at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for − 3.25 ≤ x ≤ 3.25 . Assume that x and y are measured in meters.
The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly 1.5 million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of 18 hexagonally shaped segments that when fitted together will be 6.5 min diameter (over 2.5 times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space. The primary mirror when pieced together will function as a parabolic mirror with a focal length of 131.4 m . Suppose that a coordinate system is chosen with 0 , 0 at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for − 3.25 ≤ x ≤ 3.25 . Assume that x and y are measured in meters.
The James Webb Space Telescope (JWST) is a new space telescope currently under construction. The JWST will orbit the Sun in an orbit roughly
1.5
million km from the earth, in a position with the Earth between the telescope and the Sun. The primary mirror of the JWST will consist of
18
hexagonally shaped segments that when fitted together will be
6.5
min diameter (over
2.5
times the diameter of the Hubble). With a larger mirror, the JWST will be able to collect more light to “see" deeper into space.
The primary mirror when pieced together will function as a parabolic mirror with a focal length of
131.4
m
. Suppose that a coordinate system is chosen with
0
,
0
at the center of a cross section of the primary mirror. Write an equation of the parabolic cross section of the mirror for
−
3.25
≤
x
≤
3.25
. Assume that x and y are measured in meters.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
The first artificial satellite to orbit the earth was Sputnik I. Its highest point above earth's
surface was 947 km, and its lowest point was 228 km. The center of the earth was at one
focus of the elliptical orbit. The radius of the earth is 6378 km. Find the eccentricity ofthe
orbit.
A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is 3.7 x 1020 m, and the angular speed of the star is 9.3 x 10-15 rad/s. How long (in years) does it take for the star to make one revolution around the center?
If a parabolic reflector is 40 cm in diameter and 5 cm deep, find the focus
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY