## A soccer player kicked the ball off of a hill to perform a trick shot. The motion of the ball can be modeled using the function:

### mathematics

##### Description

STATION 1

1.            A soccer player kicked the ball off of a hill to perform a trick shot. The motion of the ball can be modeled using the function:

What is the height of the hill?

2.            A diving team performs by jumping off of an elevated diving board, directly located above the pool. If the best possible diving motion can be modeled by the function:

How tall is the diving board from the surface of the water?

3.            A firework show is launching fireworks from a hill into the air. Its motion can be modeled using the function:

What is the initial height of the launch?

STATION 2

1.            In a game of darts, the perfect throwing motion can be modeled using the function:

What is the maximum height of the perfect throw?

2.            A rock is kicked off the ground. It’s height can be modeled using the function, where t represents the number of seconds after the kick,  After how many seconds will it take for the rock to reach its maximum height?

3.            A grappling hook is designed for it to grab the object at the maximum height, in feet, of its motion after, x, seconds. Its motion can be represented by the function below:

a.   When will the grappling hook grab the object?

b.  How high is the object?

STATION 3

1.            A ball is thrown into the air. Its height, in feet, can be modeled by the function below, where t represents the number of seconds.

How many seconds will it take for the ball to land?

2.            A frog off of a hill into the water. Its height can be modeled using the function below, where x represents the number of seconds after the jump. How many seconds will it take for the frog to hit the water?

3.            A coin is flipped into the air. The function below models the height, in inches, of the coin, t seconds after the coin was released.

How many seconds was the coin in the air?

STATION 4

1.            A profit of a company can be measured in millions using the following function, where t represents the number of years.

What will be the company’s profit (in   millions) after 2 years?

2.            A science student put together the following formula that can calculate the height, in feet, of a water bottle rocket by using the number of seconds after the launch, x.

How high will the rocket be off the ground 2 seconds after it is launched?

3.               The projected path of a volleyball to pass over the net can be modeled by the function:

If the function is used to calculate the height of the volleyball in meters, t seconds after the hit, how high is the volleyball after 3 seconds?