Algebra 2 Chapter 4 Journal Entry
Due: Monday 11/19
1) A pinecone falls from a tree branch that is 20 feet above the
ground.
Algebra 2 Chapter 4 Journal Entry
Due: Monday 11/19
1) A pinecone falls from a tree branch that is 20 feet above the
ground.
a) Write a function that models the height of the pinecone
as it falls. (You will need to use the Modeling Dropped
Objects function on p. 268.)
a) Write a function that models the height of the pinecone
as it falls. (You will need to use the Modeling Dropped
Objects function on p. 268.)
b) After how many seconds does the pinecone hit the
ground?
b) After how many seconds does the pinecone hit the
ground?
2) You are creating a metal border of uniform width for a wall
mirror that is 20 inches by 24 inches. You have 416 square
inches of metal to use. Write and solve an equation to find the
border’s width. Does doubling the width require exactly twice
as much metal? Explain.
2) You are creating a metal border of uniform width for a wall
mirror that is 20 inches by 24 inches. You have 416 square
inches of metal to use. Write and solve an equation to find the
border’s width. Does doubling the width require exactly twice
as much metal? Explain.
3) You are playing a lawn version of tic-tac-toe in which you toss
bean bags onto a large board. One of your tosses can be
modeled by 𝑦 = −0.12𝑥 2 + 1.2𝑥 + 2 where x is the bean bag’s
horizontal position (in feet) and y is the corresponding height
(in feet).
3) You are playing a lawn version of tic-tac-toe in which you toss
bean bags onto a large board. One of your tosses can be
modeled by 𝑦 = −0.12𝑥 2 + 1.2𝑥 + 2 where x is the bean bag’s
horizontal position (in feet) and y is the corresponding height
(in feet).
a) Write the given function in vertex form.
a) Write the given function in vertex form.
b) What is the bean bag’s maximum height?
b) What is the bean bag’s maximum height?
4) You throw a ball to your friend. The ball leaves your hand 5 feet
above the ground and has an initial vertical velocity of 50 feet
per second. Your friend catches the ball when it falls to a height
of 3 feet.
4) You throw a ball to your friend. The ball leaves your hand 5 feet
above the ground and has an initial vertical velocity of 50 feet
per second. Your friend catches the ball when it falls to a height
of 3 feet.
a) Write a function that gives the ball’s height h (in feet) t
seconds after you throw it. (You will need the Modeling
Launched Objects function on p. 295.)
a) Write a function that gives the ball’s height h (in feet) t
seconds after you throw it. (You will need the Modeling
Launched Objects function on p. 295.)
b) How long is the ball in the air?
b) How long is the ball in the air?
c) Describe two methods you could use to find the
maximum height of the ball. Then find the maximum
height using each method.
c) Describe two methods you could use to find the
maximum height of the ball. Then find the maximum
height using each method.