4.8A - Quadratic Formula Applications

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Presentation transcript:

4.8A - Quadratic Formula Applications Worksheet Key 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Worksheet Key 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

Quadratic Formula Applications Section 4.8A 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Steps Understand the question Translate Solve Interpret 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Example 1 An object is thrown upward from the top of a 200-foot cliff with a velocity of 12 feet per second. The height h in feet of the object after t seconds is h = –16t2 + 12t + 200. How long after the object is thrown will it strike the ground? Round your answer to the nearest thousandth of a second. 200 feet 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Example 1 Calculator 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Example 2 Smoke jumpers are in free fall from the time they jump out of a plane until they open their parachutes. The function is y = –16t2 + 1600 models a jumper’s height y in feet at t seconds for a jump from 1600 ft. How long is a jumper in free fall in the parachute opens at 1000 feet? Round your answer to the nearest ten-thousandth of a second. 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Your Turn The height h in feet of a person on a waterslide is modeled by the function, h(t) = –0.025t2 – 0.5t + 5, where t is the time in seconds. At the bottom of the slide, the person lands in a swimming pool. To the nearest thousandth of a second, how long does the ride last? 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Example 3 A player throws a ball straight up towards the roof of an indoor baseball stadium. The height h in feet of the ball after t seconds can be modeled by the function, h(t) = –16t2 + 112t. The height of the roof is at 208 feet. When does the ball hit the roof? What is the maximum height that the ball will reach? 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications

4.8A - Quadratic Formula Applications Assignment Worksheet 5/8/2019 2:23 PM 4.8A - Quadratic Formula Applications