Exploring Adding and Subtracting Rational Expressions

The video tutorial covers projectile motion, focusing on calculating the maximum height and time to reach the ground for objects like a soccer ball and an apple. It explains using the vertex formula for maximum height and solving quadratic equations to find when the object hits the ground. The tutorial includes step-by-step calculations and emphasizes understanding the concepts of projectile motion.

What formula is used to find the maximum height of a projectile?

• H = -16t^2 + vt + s

• x = -b / 2a

• H = vt - 16t^2

• H = -16t^2 + initial velocity

What is the initial upward velocity of the soccer ball?

• 45 feet per second

• 120 feet per second

• 90 feet per second

• 64 feet per second

At what time does the soccer ball reach its maximum height?

• 3.5 seconds

• 5.625 seconds

• 4.2 seconds

• 2.81 seconds

What is the maximum height reached by the soccer ball?

• 144 feet

• 150 feet

• 126.56 feet

• 100 feet

How long does it take for the soccer ball to hit the ground?

• 6.5 seconds

• 5.625 seconds

• 4.2 seconds

• 2.81 seconds

Which equation is used to solve for the time it takes for a projectile to hit the ground?

• 0 = -16t^2 + initial velocity

• 0 = vt - 16t^2

• t = -b / 2a

• 0 = -16t^2 + vt + s

What method is suggested for solving the equation when the height is set to zero?

• Factoring

• Trial and error

• Using the quadratic formula

• Graphing

What is the initial velocity of the apple launched upwards?

• 90 feet per second

• 64 feet per second

• 45 feet per second

• 120 feet per second

What is the maximum height reached by the apple?

• 126.56 feet

• 100 feet

• 144 feet

• 150 feet

How long does it take for the apple to reach the ground?

• 5.625 seconds

• 2 seconds

• 4.2 seconds

• 5 seconds