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# At+A+Pointjtd

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### At+A+Pointjtd

1. 1. At a point quadratic story problem.<br />By Andrew Sexton<br />Tyler Dowling<br />Dylan Fulp<br />
2. 2. The projectile height formula<br />H=-16t2+vot+so<br />You take the given numbers from the story and plug them into the formula.<br />H=height , t=time , v= velocity , and s= starting point.<br />
3. 3. Examples<br />Suppose a ball is thrown from a height of 200 feet and a velocity of 100 feet per second. After how many seconds will it reach a height of 300 feet.<br />300=-16t2 +100t+200.<br />When you put numbers into the equations the o’s are deleted.<br />The whole equation equals 300 because that is the height that we are trying to reach.<br />100 is the velocity in which the ball was thrown so we replace the v with 100.<br />
4. 4. Examples<br />200 is the starting point of the ball so we replace the s with 200.<br />Finally the answer to how many seconds it would take would be t= 1.34 and 4.65.<br />To get that answer you use the quadratic equation <br />
5. 5. More steps<br />At a point problems are used to find how the way something is thrown like how high a ball will bounce or how far a baseball can be thrown. Also i want you to summarize how to get to the answers for both of these. They are both the practice questions on the on the thing about at a point link.<br />
6. 6. examples<br />Question #1: A toy rocket is fired vertically into the air from the ground at an initial velocity of 80 feet per second. Find the time it will take for the rocket to return to ground level.<br />5seconds<br />
7. 7. examples<br />A rock is thrown vertically upward with an initial velocity of 48 feet per second. If the rock toss started from a balcony 3 feet off the ground, determine the time it will take for the rock to reach its highest point (before it begins its descent to the ground). What is that highest point? At what time will the rock hit the ground? 1.5 seconds to reach maximum height and 3.06 seconds to reach the ground again at the balcony<br />
8. 8. http://www.math.com/students/calculators/source/quadratic.htm<br />A ball is tossed from 4 feet above ground. It is released with an upward velocity of 50 feet per second. When will be ball be 40 feet above the ground? <br />A. Approximately 2.07 seconds <br />B. Approximately 1.05 seconds <br />C. Approximately 3.85 seconds <br />D. Approximately 3.71 seconds <br />
9. 9. questions<br />A bullet is fired vertically into the air from the ground at an initial velocity of 240 feet per second. When will the bullet return to ground level? <br />A. -15 seconds <br />B. 0 seconds. <br />C. 15 seconds <br />D. 3.87 seconds <br />http://www.math.com/students/calculators/source/quadratic.htm<br />