Quadratic Models

A rock is dropped from a height of 48 meters. Write an equation to model the height as a function of time, where y is height and x is time.

(Acceleration due to gravity is 9.8 m/s/s)

Mathematical Equivalence

ON

A fish is dropped from an eagles talons from a height of 30 meters. Write an equation to model this for height as a function of time.

What is the height of a rock dropped from a height of 1416.1 meters after 10 seconds?

• 926.1 meters

• 1000.3 meters
• 800.7 meters
• 650.2 meters

When will a rock dropped from a height of 1416.1 meters reach the ground?

• 17 seconds

• 15.9 seconds

• 23 seconds

• 8.2 seconds

How long does it take for a ball dropped from a height of 19.6 meters to hit the ground?

• 1 second

• 2 seconds

• 3 seconds

• 4 seconds

A boat travelling at 3 m/s begins accelerating 10 meters after the dock at a rate of 5 m/s/s. Write an equation to model the distance from the dock as a function of time.

A boat travelling at 3 m/s begins accelerating 10 meters after the dock at a rate of 5 m/s/s.

How far from the dock will the boat be after 8 seconds?

• 720 meters

• 354 meters

• 194 meters

• 1021 meters

• The distance at which the car began to accelerate

• The velocity of the car when it began to accelerate

• Half of the rate of acceleration

• The time it took for the car to reach the end

• 7 m/s

• 20 m/s

• 50 m/s

• 4.9 m/s

• 1298 meters

• 462 meters

• 599 meters

• 1655 meters