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.

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.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...

See similar textbooks

Similar questions

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
Since the tangent equation of f(x) = x^3 – x^2 + 3x – 5 drawn from the x = 1 apse point on it is y = mx + n, what is the value of m +n ?
A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data it is determined that between 4:30 PM and 5:30 PM the rate R(t) at which cars enter the freeway is modeled well by the equation R(t)=80+1.2t-0.03t2 cars per minute, where t is the time in minutes somce 4:30 PM. a. According to the model, at what specific time of day does the traffic reach a maximum flow onto the freeway and what is the peak flow rate? b. Determine the total number of cars that the model predicts will enter the freeway between 4:30 PM and 5:30 PM.
Find the arclength of y = 4x2 - 4 where x is greater than or equal to 0 and less than or equal to 4
If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464 ft/sec, its height after tt seconds is s(t)=48+64t−16t^2 What is the maximum height the ball reaches? What is the velocity of the ball when it hits the ground (height 0)?
The height above the ground of a rider on a Ferris wheel can be modelled by the sinusoidal function h=4sin(3.44t+0.58)+13 where hℎ is the height of the rider above the ground, in metres, and t is the time, in minutes, after the ride starts Based on the sinusoidal function, the maximum height of the rider above the ground, to the nearest meter, is