# a1-m5 | Algebra homework help

**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:

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.

**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 925 feet. Round your answer to the nearest tenth.