Unit 4.5 Remediation - Projectile Motion

Unit 4.5 Remediation - Projectile Motion

Valid to replace any Unit 4.5 assignments in Backpack.

Let's use Desmos to analyze and evaluate Quadratic Application Functions.

​

Quadratic Application Problems

Make sure you can find the following on your graph. The next 3 slides will ask for this information.

• y-intercept (starting height)

• Vertex (time, max height)

• x-intercept (time, on the ground)​

Multiple Choice

What is the initial height of the object?

• 22

• 48

• 16

• 0

Multiple Choice

How long did it take to reach the max height?

• 12 seconds

• 58 seconds

• 3.5 seconds

• 1.5 seconds

Multiple Choice

How long was the object in the air?

• 2.8 seconds

• 3.4 seconds

• 1.5 seconds

• 8 seconds

Multiple Choice

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4

• 2

• 4

• 8

Multiple Choice

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Multiple Choice

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high are the fireworks after 1 second?

• 136

• 96

• 168

• 210

• 210.25

Multiple Choice

Which one are we looking for?

Elliot wants to know how high the soccer ball will get if he kicks it straight up in the air.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Darrell is trying to find out how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

Which one are we looking for?

Jaiden wanted to know the initial height of a baseball when it was hit at home plate.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Multiple Choice

What should the selling price be in order to maximize profit?

• 35

• 60

• 10

• 0

Multiple Choice

What is the initial (starting) height of an object following this path? 

h(t) = -16t² +20t + 6

• -16 feet 

• 0 feet

• 20 feet 

• 6 feet