Real World Questions with Parabolas

Slides:



Advertisements
Similar presentations
Projectile Motion. What Is It? Two dimensional motion resulting from a vertical acceleration due to gravity and a uniform horizontal velocity.
Advertisements

Physics  Free fall with an initial horizontal velocity (assuming we ignore any effects of air resistance)  The curved path that an object follows.
ACTIVITY 27: Quadratic Functions; (Section 3.5, pp ) Maxima and Minima.
Warm Up 1. Order the following from widest to narrowest: y = -2x 2, y = 5x 2, y =.5x 2, y = -3.5x 2 2. Find the vertex of y = -2x 2 – 8x – Find.
Ch 9: Quadratic Equations G) Quadratic Word Problems Objective: To solve word problems using various methods for solving quadratic equations.
Algebra: Wednesday’s Daily Inspiration Factor the following quadratic equations AND then identify the roots: 1.y = -2x x y = -x 2 + 8x – 16.
Projectile Motion /all-videos/extreme-grocery-shopping /all-videos/extreme-grocery-shopping.
PARABOLAS Do Now: Questions 1-9 find the equation of each parabola and name the transformation from x 2.
9-4 Quadratic Equations and Projectiles
10.4 Projectile Motion Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2002 Fort Pulaski, GA.
3.1 Quadratic Functions. Polynomials- classified by degree (highest exponent) Degree: 0 -constant function-horizontal line 1 -linear function- 2 -quadratic.
Introduction to Projectile Motion
Projectile Motion. What Is It? Two dimensional motion resulting from a vertical acceleration due to gravity and a uniform horizontal velocity.
Physics Lesson 6 Projectile Motion Eleanor Roosevelt High School Mr. Chin-Sung Lin.
Projectile Motion. We are going to launch things, and then find out how they behave.
Physics Lesson 6 Projectile Motion
10.4 Projectile Motion Fort Pulaski, GA. One early use of calculus was to study projectile motion. In this section we assume ideal projectile motion:
PHYS 20 LESSONS Unit 2: 2-D Kinematics Projectiles Lesson 5: 2-D Projectiles.
Aim: How can we solve problems dealing with horizontally fired objects? Do Now: An object falls freely for 75 m. How long does it take to reach the ground?
Projectiles (2D) A projectile is any object that is in a state of freefall, or in other words an object that is only acted upon by the force of gravity.
Using the Quadratic Formula Section 3.4 beginning on page 122.
1. Use the discriminant to determine the number and type of roots of: a. 2x 2 - 6x + 16 = 0b. x 2 – 7x + 8 = 0 2. Solve using the quadratic formula: -3x.
Lesson 2.1.2: Interpreting Various Forms of Quadratic Functions Pages in Text Any Relevant Graphics or Videos.
SWBAT… solve quadratic equations, ax 2 + bx + c Wed, 2/8 Agenda 1. Warm-up (10 min) 2. Solving quadratic equations, ax 2 + bx + c (20 min) Warm-Up: 1.
The Quadratic Formula Chapter 8.6. The Quadratic Formula If, then.
Title of Lesson: Quadratics Pages in Text Any Relevant Graphics or Videos.
4.3 – Modeling with Quadratic Functions Three noncollinear points, no two of which are in line vertically, are on the graph of exactly one quadratic function.
Review: 6.5g Mini-Quiz 1. Find 2 consecutive positive integers whose product is Find 2 consecutive positive odd integers whose product is 99.
Aim: How do we apply the quadratic equation? Do Now: Given a equation: a) Find the coordinates of the turning point b) If y = 0, find the values of x.
Title of Lesson: Quadratic Functions Section: 2.1Pages:
Objectives Solve quadratic equations using the Quadratic Formula.
Observations What just happen? How did it happen? Why did it happen?
Section 1.3 Quadratic Equations 1. 2 OBJECTIVE 1 3.
Chapter 2 Polynomial and Rational Functions 2.1 Quadratic Functions Definition of a polynomial function Let n be a nonnegative integer so n={0,1,2,3…}
Graph a parabola through these points (0,3)(-1, 2)(-2, 3) Then write the equation of the parabola in vertex form by using the transformations.
Projectiles IB Revision. Gravity does not act sideways gravity makes it accelerate downwards The ball moves with a constant horizontal velocity The ball.
Warm Up 1. Find the vertex, AOS, y-intercept and roots of y = -2x 2 – 8x – 10.
Lesson 9.5 Objective: To solve quadratic equations using the quadratic formula. Quadratic formula: When Then the value of x is… What formula can be used.
MODELING WITH QUADRATIC FUNCTIONS 4.3 NOTES. WARM-UP The path of a rocket is modeled by the equation How long did it take the rocket to reach it’s max.
Chapter 4: Quadratic Functions and Equations
Solving by factoring & taking square roots
HW: Worksheet Aim: How do we apply the quadratic equation?
Solving Equations by Factoring
Physics Lesson 6 Projectile Motion
Projectile Review.
Projectile Motion AP Physics C.
Linear Motion, Free Fall, and Vectors Combined!
Projectile motion.
Chapter 4: Quadratic Functions and Equations
Objectives Solve quadratic equations using the Quadratic Formula.
Question #1 A ball rolls off a desk at a speed of 2.6 m/s and lands 0.65 seconds later. a) How high is the desk? b) What is the speed and angle of impact?
Warm-up Unit 3 Day 4 How do you graph a line?
Solving Quadratic equations by graphing.
Lesson 2.1 Quadratic Functions
9-4 Quadratic Equations and Projectiles
Today’s Learning Goals …
Review.
Bellringer What is the difference between the words vertical and horizontal? What does the word projectile mean? How is one dimensional (1D), two dimensional.
Polynomial and Rational Functions
Motion in Two-Dimensions
Solve by Graphing Solve by Factoring Complex Numbers Solve by
Topic 6 - Square Root Functions & Equations
Chapter 3 Jeopardy Review
ALGEBRA II HONORS/GIFTED - SECTION 4-7 (The Quadratic Formula)
Section 2.1 Quadratic Functions.
Review.
Copyright © Cengage Learning. All rights reserved.
1. A person throws a baseball into the air with an initial vertical velocity of 30 feet per second and then lets the ball hits the ground. The ball is.
What is Projectile Motion?
Find the length of the GREEN line
Presentation transcript:

Real World Questions with Parabolas Section 5.4 Real World Questions with Parabolas

The height of a pebble dropped from a cliff 604 feet high is described by the formula . How long will the pebble take to reach a height of 348 feet?

The path of the water from a sprinkler is modeled by a quadratic function where h(d) is the height of water, in feet, at a distance of d feet from the jet. Find how far from the sprinkler the water hits the ground.

A rocket is fired with a velocity of 60 m/s at a vertical angle of 30 degrees. The equation gives the height of the rocket at t seconds after the launch. Will the rocket ever reach a height of 50 meters? Explain your reasoning.