2.1 A projectile is launched upward from the ground. Its height s in feet above the ground after t seconds is given by the following equation: s=-16t2 + 150t+50. a) Using Desmos or some electronic graphing tool, graph the quadratic function that represents the path of the projectile. Choose a domain and range that best fits this scenario. Title and label all parts of the graph. b) After how many seconds in the air will it hit the ground? Round to 2 decimals. c) During what time interval is the projectile more than 576 feet above the ground? Round to 2 decimals. d) How long does it take the projectile to reach its max height? What is the max height? Round each to 2 decimals.
2.1 A projectile is launched upward from the ground. Its height s in feet above the ground after t seconds is given by the following equation: s=-16t2 + 150t+50. a) Using Desmos or some electronic graphing tool, graph the quadratic function that represents the path of the projectile. Choose a domain and range that best fits this scenario. Title and label all parts of the graph. b) After how many seconds in the air will it hit the ground? Round to 2 decimals. c) During what time interval is the projectile more than 576 feet above the ground? Round to 2 decimals. d) How long does it take the projectile to reach its max height? What is the max height? Round each to 2 decimals.
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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A projectile is launched upward from the ground. Its height s in feet above the ground after t seconds is
given by the following equation: s=-16t² + 150t+50.
a) Using Desmos or some electronic graphing tool, graph the quadratic function that represents the path of the projectile.
Choose a domain and range that best fits this scenario. Title and label all parts of the graph.
b) After how many seconds in the air will it hit the ground? Round to 2 decimals.
c) During what time interval is the projectile more than 576 feet above the ground? Round to 2 decimals.
d) How long does it take the projectile to reach its max height? What is the max height? Round each to 2 decimals.
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Step 1: Write the given information.
VIEWStep 2: Graph the quadratic function that represents the path of the projectile.
VIEWStep 3: Compute the time period when projectile hit the ground.
VIEWStep 4: Determine the time interval when the projectile lies more than 576 feet above the ground.
VIEWStep 5: Compute the time period for the projectile to reach its max height.
VIEWStep 6: Compute the maximum height for the projectile.
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