A group of students is tracking a friend, Emilee, who is riding a Ferris wheel. They know that Emilee reaches the maximum height of 11 m at 10 s and then reaches the minimum height of 1 m at 55 s. a) Develop an equation about height, h(t), in the following format: h(t)= a sin b(t-c)+d b) Determine her height after 77.5 s.

Q: The height in feet of an object thrown vertically upward after t seconds is given by s(t) =…

A:

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: 4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in…

A: Here we use derivatives to solve this problem.

Q: A golf ball is hit and the flight of the ball can be modelled by the equation, h(t) = -4.9² + 10t +…

A:

Q: The velocity of a rocket, in feet per second, of a rocket t seconds into vertical flight is given by…

A: Write the relation between velocity and altitude: vt=dhtdt

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: Let r(t) = (3 −3t)i + 4tj. Find the arc length parameterization for r(t).

A:

Q: by John throws a football off the roof Of the gym to a spot on the ground, The height of the ball is…

A: The height of the ball is modelled by the function h(t) = -5t² + 20t+15 where h is the height in…

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A:

Q: You are in a room 30 feet long with a heater at one end. In the morning the room is 65°F. You turn…

A: Given Information:In a room of feet long with a heater at one end.In the morning, the room is…

Q: During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s…

A:

Q: Solve and show work. The population of New England was 4,000 in the year 1750. The population…

A: This question can be solved using the modelling concept of compounded growth.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.