A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the laws of physics. The height of the ball above the ground, h(x) (in meters) is given by the quadratic function: h(x) = -3x2 + 6x + 4 %3D where x is the horizontal distance from the house in meters. The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) State the coordinates of the h-intercept. Explain the meaning of this intercept within the problem context. b) Complete the square on the right-hand side to convert the function from general form to standard form. State the coordinates of the vertex. c) Find vertex by using the vertex formula. The result should be the same as in part b) above.
A. Projectile Motion A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the laws of physics. The height of the ball above the ground, h(x) (in meters) is given by the quadratic function: h(x) = -3x2 + 6x + 4 %3D where x is the horizontal distance from the house in meters. The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) State the coordinates of the h-intercept. Explain the meaning of this intercept within the problem context. b) Complete the square on the right-hand side to convert the function from general form to standard form. State the coordinates of the vertex. c) Find vertex by using the vertex formula. The result should be the same as in part b) above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A. Projectile Motion
A child throws a ball upward from the roof of a house. The trajectory is parabolic, according to the laws of
physics. The height of the ball above the ground, h(x) (in meters) is given by the quadratic function:
h(x) = -3x2 + 6x + 4
where x is the horizontal distance from the house in meters. The goal of this tutorial is to graph this
function and analyze and interpret the graph within the problem context.
Show the following steps on the blackboard or paper as your instructor directs:
a) State the coordinates of the h-intercept. Explain the meaning of this intercept within the problem context.
b) Complete the square on the right-hand side to convert the function from general form to standard form.
State the coordinates of the vertex.
c) Find vertex by using the vertex formula. The result should be the same as in part b) above.
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