Exploring Projectile Motion in Algebra 1

The video tutorial covers the concept of projectile motion in relation to quadratic functions. It explains how to model projectile motion using quadratic equations, focusing on key components like gravity, initial velocity, and initial height. The tutorial demonstrates how to graph these equations and solve for maximum height and time in the air using the vertex formula and quadratic equations. Practical examples are provided to reinforce understanding.

What is the shape of the path of a projectile when air resistance is ignored?

• Circle

• Ellipse

• Parabola

• Hyperbola

What is the value of the gravitational force in feet per second squared used in the projectile motion formula?

• -9.8

• -4.9

• -32

• -16

If an object is thrown with an initial velocity of 30 feet per second, how long will it approximately stay in the air?

• Less than 1 second

• About 2 seconds

• More than 4 seconds

• About 3 seconds

How does increasing the initial height of a projectile affect its time in the air?

• It decreases the time in the air

• It has no effect on the time in the air

• It increases the time in the air

• It makes the path more curved

What is the formula used to find the x-coordinate of the vertex of a parabola?

• B divided by A

• -B divided by A

• B divided by 2A

• -B divided by 2A

In the formula s(t) = -16t^2 + V₀t + S₀, what does V₀ represent?

• Final velocity

• Initial height

• Initial velocity

• Final height

If an object is launched directly upward at 64 feet per second from a platform 80 feet high, what is the maximum height it will reach?

• 80 feet

• 100 feet

• 144 feet

• 200 feet

Using the quadratic formula, what is the time it takes for an object to hit the ground if it is thrown upward with an initial velocity of 29 feet per second from a height of 6 feet?

• 0.1875 seconds

• 1 second

• 3 seconds

• 2 seconds

What is the significance of the x-intercept in the context of projectile motion?

• It represents the initial velocity

• It represents the maximum height

• It represents the time the object is in the air

• It represents the initial height

In the context of projectile motion, what does the y-intercept represent?

• Time in the air

• Maximum height

• Initial velocity

• Initial height