Scenario
The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula:
h space equals space minus 16 t squared space plus space v subscript i t
h space equals space minus 16 t squared space plus space v subscript i t
Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 384 feet per second. Use the graph below to help answer the questions.
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 925 feet. Round your answer to the nearest tenth.