Softball
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
Based off the equation, is the parabola more steep or narrow?
Narrow, absolute value more than 1
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
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.
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
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
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 height was the volleyball initially served at?
4 feet