Scenario

The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, ofv_i, aftertseconds is given by the formula:

H=-16t²+ v_it

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Assessment Instructions

Show and explain all stepsin your responses to the following parts of the assignmentusing the Algebra concepts discussed within the course. All mathematical stepsand explanations must be typed up andformatted using the equation editor.

Part 1: Create the equation for the height of the rocket aftertseconds.

Part 2: Find the time it takes for the rocket to reach a height of 0 using factoring. Interpret both solutions.

Part 3: Find the time it takes to reach the top of its trajectory.Note: You must use the vertex formula for this calculation. Calculus is NOT allowed.

Part 4: Find the maximum height.

Part 5: Find the time it takes to reach a height of 1100 feet using the quadratic formula. Round your answer to the nearest tenth.

H Highest Point Height in Feet Starting Landing Point Point t Time in Seconds