APPLICATIONS OF QUADRATICS

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Presentation transcript:

APPLICATIONS OF QUADRATICS

The function h = -16t2 + 200 gives a diver’s height h in feet after t seconds (a) What does the 200 represent? (b) What will her height be after 1 second? (c) After 3 seconds? (d) When does she hit the water?

(a) How far has the apple fallen after 2 seconds? Suppose Stephanie is riding in a hot air balloon, 144 feet above the ground. She drops an apple because she is trying to hit Marissa in the head. The height of the apple above the ground is h = -16t2 + 144, where h is height in feet and t is time in seconds. (a) How far has the apple fallen after 2 seconds? (b) After 3 seconds?

In professional fireworks displays, aerial fireworks carry stars upward, ignite them, and project them into the air. The equation h = -16t2 + 72t + 520 gives a star’s height h in feet at time t in seconds. (a) How long will it take for the star to reach its maximum height? (b) How far above the ground will it be?

A soccer ball is thrown into the air with an initial upward velocity of 48 ft/sec. The function h = -16t2 + 48t + 4 gives the height h in feet after t seconds. (a) How long will it take for the star to reach its maximum height? (b) How far above the ground will it be?

Find the side measure of a square with an area of 256 square meters.

A rectangle has a length of x and a width of 2x + 3 A rectangle has a length of x and a width of 2x + 3. It has an area of 200 square centimeters. Find the dimensions of the rectangle rounded to the nearest hundredth.