MMA Midterm Review #4

Front

What is the equation that models the path of a ball punted into the air?

Back

h = -16t² + 23.3t + 3.5, where h is the height in feet and t is the time in seconds.

Front

How do you determine the time it takes for a ball to hit the ground using its height equation?

Back

Set h = 0 and solve the equation -16t² + 23.3t + 3.5 = 0 for t.

Front

What is the maximum height of a projectile modeled by the equation h = -16t² + vt + h₀?

Back

The maximum height occurs at t = -b/(2a) where a and b are coefficients from the equation.

Front

What is the initial velocity of a ball thrown down from a height?

Back

The initial velocity is the speed at which the ball is thrown, with direction considered (downward is negative).

Front

What is the initial height of a ball dropped from a building?

Back

The initial height is the height from which the ball is dropped, measured in feet.

Front

What does a negative initial velocity indicate in projectile motion?

Back

A negative initial velocity indicates that the object is moving downward.

Front

What is the significance of the coefficient -16 in the height equation?

Back

The coefficient -16 represents the acceleration due to gravity in feet per second squared.

Front

How do you find the time of flight for a projectile?

Back

Calculate the time it takes for the height to reach zero using the height equation.

Front

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

Back

Maximum height = h₀ + (v²)/(2g), where h₀ is the initial height, v is the initial velocity, and g is the acceleration due to gravity.

Front

What is the initial velocity of a ball dropped from rest?

Back

The initial velocity is 0 ft/sec.