Softball

Football

Baseball

Track

Volleyball

100

Karly pitches the softball with a speed of 32 inches per second. The height of the ball in t seconds is given by the equation d(t)= -16t^2+32t+40.

What is the maximum height the softball reaches?

56 inches

100

A football is kicked from ground level. Its path is given by the relation h(t)= -4.9t 2 + 22.54t, where h is the ball’s height above the ground, in meters, and t is the time, in seconds.

What is the footballs max height?

25.9 meters

100

A batter hits a baseball modeled by the equation f(t) = -0.5t2 + 4t + 4.5, where t represents the time in seconds and f(t) is the baseballs vertical height in feet.

What is the initial height where the baseball is hit?

4.5 feet

100

An athlete throws a discus from an initial height of 6 feet and with an initial vertical velocity of 46 feet per second.

Write an equation that gives the height (in feet) that gives a function of time since it left the athletes hands.

h=-16t^2+46t+6

100

The height h (in feet) of an underhand serve in volleyball can be modeled by h=-16t^2+30t+4, where t is the time in seconds.

When is the ball 16 feet above the ground?

At approximately 0.6 seconds and 1.3 seconds

200

Karly pitches the softball with a speed of 32 inches per second. The height of the ball in t seconds is given by the equation d(t)= -16t^2+32t+40.

In how many seconds will the softball reach its max height?

1 second

200

A football is kicked from ground level. Its path is given by the relation h(t)= -4.9t 2 + 22.54t, where h is the ball’s height above the ground, in meters, and t is the time, in seconds.

At what time does the ball hit the ground?

4.6 seconds

200

A batter hits a baseball modeled by the equation f(t) = -0.5t2 + 4t + 4.5, where t represents the time in seconds and f(t) is the baseballs vertical height in feet.

When does the ball hit the ground?

9 seconds after its hit

200

An athlete throws a discus from an initial height of 6 feet and with an initial vertical velocity of 46 feet per second. The equation is given h=-16t^2+46t+6.

After how many seconds does the discus hit the ground?

After 3 seconds

200

The height h (in feet) of an underhand serve in volleyball can be modeled by h=-16t^2+30t+4, where t is the time in seconds.

In how many seconds does the ball reach the ground on the opposite side of the net?

In 2 seconds

300

Karly pitches the softball with a speed of 32 inches per second. The height of the ball in t seconds is given by the equation d(t)= -16t^2+32t+40.

What is the y-intercept of this equation

40

300

A football is kicked from ground level. Its path is given by the relation h(t)= -4.9t 2 + 22.54t, where h is the ball’s height above the ground, in meters, and t is the time, in seconds.

How long does it take for the ball to reach its max height?

2.3 seconds

300

A batter hits a baseball modeled by the equation f(t) = -0.5t2 + 4t + 4.5, where t represents the time in seconds and f(t) is the baseballs vertical height in feet.

What is the maximum height of the baseball?

125 feet

300

An athlete throws a discus from an initial height of 6 feet and with an initial vertical velocity of 46 feet per second. The equation is given h=-16t^2+46t+6.

What is the max height of the discus?

39 feet

300

The height h (in feet) of an underhand serve in volleyball can be modeled by h=-16t^2+30t+4, where t is the time in seconds.

What is the maximum height of the volleyball?

Approximately 18 feet

400

Based off the equation, is the parabola more steep or narrow?

Narrow, absolute value more than 1

400

A football is kicked from ground level. Its path is given by the relation h(t)= -4.9t^2 + 22.54t, where h is the ball’s height above the ground, in meters, and t is the time, in seconds.

What is the line of symmetry?

Line of symmetry is 2.3

400

Find the axis of symmetry, and explain what it means in the word problem.

The axis of symmetry shows how many seconds the ball took to get to its maximum height, which is 4 seconds

400

An athlete throws a discus from an initial height of 6 feet and with an initial vertical velocity of 46 feet per second. The equation is given h=-16t^2+46t+6.

What is the initial height of the discus?

6 feet

400

What height was the volleyball initially served at?

4 feet