Quadratic applications

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 seconds

• None of the above

How many seconds after the launch will the object hit the ground?

• y-intercept

• A.O.S or x-coordinate(value) of vertex

• y-coordinate(value) of vertex

• x-intercept

How many seconds after being thrown will the ball reach its maximum height?

• A.O.S or x-coordinate(value) of vertex

• y-intercept

• y-coordinate(value) of vertex

• x-intercept

What is the maximum height the ball will reach?

• x-intercept

• y-intercept

• A.O.S or x-coordinate(value) of vertex

• y-coordinate(value) of vertex

What is the height of Ana above the water at the time of diving?

• A.O.S or x-coordinate(value) of vertex

• y-intercept

• x-intercepts

• y-coordinate(value) of vertex

How many seconds after diving will Ana hit the ground?

• y-intercept

• y-coordinate(value) of vertex

• A.O.S or x-coordinate(value) of vertex

• x-intercept