can u figure this out

1:34 Chapter 8 - Quadratic... NAME:_ DUE DATE: Chapter 8 - Quadratic Functions Vertex Quadratic Formula x =bivb2-4ac 2a The movie October Sky is the true story of Homer Hickam, a coal miner's son in 1950 West Virginia, who was inspired by the first Sputnik launch to take up rocketry against his father's wishes. As Homer and his friends experiment with building rockets, they experience various mishaps and are accused of setting a fire. The group of young inventors competes for a National Science Award which will provide them with college scholarships. Homer Hickam went on to become a NASA engineer. Please round all of your answers for the this lab project to the nearest tenth. When explaining why his rocket did not set the fire, Homer used the formula, S = at2 (S=height, a=acceleration, t=time). This equation could also be written as d = 16t (d=distance to fall, t=time). You will use these equations while completing this lab project. 1. Homer states that his rocket fell for 14 seconds and estimates that the rocket's altitude was 3000 feet. Use the formula to find the actual distance, in feet, that the rocket fell during that time. 2. Let's look at another one of Homer's rocket launches. It was launched from ground level with an initial velocity of 272 feet per second. Its distance in feet from the ground after t seconds is given by S(t) = -16t2 + 272t. What is the maximum altitude (height) the rocket will attain during its flight? The vertical height of a projectile affected only by gravity near the earth's surface is modeled by a quadratic function. While the following equations do not take air resistance into account, they are, nevertheless, good models. METERS: After f seconds, the height of a projectile with an initial upward velocity of Vo meters per second and an initial height h, meters is given by y = h(1) =-4.9t' + vit + h, meters. FEET: When the initial height is measured in feet and the initial velocity is measured in feet per second, the height of the object is given by y = h(t) =-16t' + vit + h, feet 3. According to the National Association of Rocketry, the current model rocket altitude record in the "F Altitude" event for Ages 14-18 division is 1430 meters. From this record-setting altitude, the rocket is motionless as it begins its free-fall descent back to the ground. Using the equation, h(t) = -4.9tz + Not + ho, find how long it will take for the rocket to hit the ground after reaching its high point. (Hint: motionless implies Vo = 0.) 0= O= Dashboard Calendar To Do Notifications Inbox