The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of v, after t seconds is given by the formula: h = -16t^2 + vt. Use the equation above to answer questions about a model rocket that is launched from the ground into the air with an initial velocity of 352 feet per second. Use the graph below to help answer the questions.
H
Highest Point
Height in Feet
Starting Point
Landing Point
Time in Seconds
Assessment Instructions:
Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.
Part 1: Create the equation for the height of the rocket after t seconds.
Part 2: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.
Part 3: Find the time it takes to reach the top of its trajectory.
Part 4: Find the maximum height.
Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.