Parabola Word Problems

Macy threw a football at a rate of y = -2x² + 4x + 4. After how many seconds will the football land on the ground?

• 0.732 seconds

• 0.643 seconds

• 1 second

• 2.732 seconds

A tennis ball is hit upward with an initial velocity of 12 m/s. The height of the ball in meters after t seconds is given by the function h(t) = -2.45t^2 + 12t. What is the maximum height the tennis ball reaches?

• The maximum height the tennis ball reaches is 10.5 meters.

• The maximum height the tennis ball reaches is 16.2 meters.

• The maximum height the tennis ball reaches is 8.9 meters.

• The maximum height the tennis ball reaches is 14.7 meters.

A stone is thrown upward with an initial velocity of 18 m/s. The height of the stone in meters after t seconds is given by the function h(t) = -4.9t^2 + 18t. What is the maximum height the stone reaches?

• 16.45

• 12.5

• 14.2

• 20.1

Ashlyn threw a paper air plane out the window at a rate of

y = -2x² + 4x + 34, where y is the height and x is the time in seconds. After how many seconds will the paper air plane be at its maximum height?

• 2 seconds

• 1 second

• 1.5 seconds

• 2.5 seconds

Kaylee threw her binder out of her car window (because binder quizzes give her anxiety) The rate of a binder flew at a rate of y = -x² + 4x + 7. After how many seconds will the binder be at the maximum height?

• 2 seconds

• 1.5 seconds

• 4.3 seconds

• 2.5 seconds

Maleigha threw a football at a rate of y = -2x² + 4x + 4. After how many seconds will the football land on the ground?

• 0.732 seconds

• 0.643 seconds

• 1 second

• 2.732 seconds

Breckel jumped off of a diving board at a rate of y = -3x² + 6x + 4. x represents time in seconds and y represents the height in feet. After how many seconds will she land in the water?

• 1 second

• 2.582 seconds

• 7 seconds

• 1.452 seconds

A ball is thrown upward from the ground with an initial velocity of 30 m/s. The height of the ball in meters after t seconds is given by the function h(t) = -5t^2 + 30t. What is the maximum height the ball reaches?

• 45

• 40

• 35

• 30

A water fountain shoots water upward with an initial velocity of 15 m/s. The height of the water in meters after t seconds is given by the function h(t) = -4.9t^2 + 15t. What is the maximum height of the water stream?

• 13.62 meters

• 11.47 meters

• 9.75 meters

• 7.83 meters

A rocket is launched vertically upward with an initial velocity of 50 m/s. The height of the rocket in meters after t seconds is given by the function h(t) = -9.8t^2 + 50t. What is the maximum height the rocket reaches?

• 64.05

• 45.32

• 58.79

• 72.14