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Data Table (don’t forget units!) Time UpTotal timeTime downAngle of rocketTangent (from table) Mass of rocket (up) CalculationsFormulaSubstitutionsAnswerUnits Distance of rocket D= (tan angle) ∙ 100 meters Velocity (up) Acceleration (up) Momentum (up) (The following calculations are optional for 79% or lower) Mass (down): Velocity (down) Acceleration (down) Momentum (down) This includes the EMPTY rocket AND the FULL engine

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1. The time from the launch to the highest elevation.

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2. The time from the highest elevation to the ground.

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3. The maximum height of the rocket (DISTANCE) Θ 100m d

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EXAMPLE: my rocket had an angle of 37 degrees. The tangent of that angle from the table is 0.7536. so my DISTANCE the rocket went up is 0.7536 ∙ 100 meters = 75.36 meters (note: this is also my distance DOWN)

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4. The average upward velocity. EXAMPLE: now I can calculate my upward velocity using the formula above. My time up was 3.54 seconds. v = d/t V = 75.36 m / 3.54 s V = 21.288 m/s V = 21.3 m/s (rounded to tenths)

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6. The average acceleration as it rose to its max height EXAMPLE: Now I can calculate my acceleration. A = Final velocity – Starting velocity / time (up) A = 21.3 m/s – 0 m/s / 3.54 s A = 6.01359 m/s /s a= 6.0 m/s/s

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8. The upward momentum. Now I can calculate my momentum using the formula above. NOTE: momentum MUST be calculated using kilograms as your mass so it MUST be converted. EXAMPLE: the mass of my rocket UPWARD was 12.7 grams and the mass of the engine UPWARD was 10.5 grams for a TOTAL UPWARD MASS of 23.2 grams. This CONVERTS to 0.0232 KILOGRAMS (just divide by 1000 or move the decimal 3 places to the left) P = m ∙ v P = 0.0232 kg ∙ 21.3 m/s P = 0. 49416 kg ∙ m/s P = 0.5 kg ∙m/s

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5. The average downward velocity. NOW CALCULATE THE DOWNWARD VELOCITY, ACCELERATION, AND MOMENTUM. ASSUME THE ROCKET WENT DOWN THE SAME DISTANCE AS IT WENT UP. USE YOUR DOWNWARD TIME FOR THE CALCULATIONS FOR VELOCITY AND ACCELERATION. USE YOUR DOWNWARD MASS FOR THE MOMENTUM.

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7. The average acceleration as the rocket fell. REMEMBER, YOUR ROCKET ACTUALLY STOPPED FOR A FRACTION OF A SECOND AT THE PEAK. THIS IS YOUR STARTING VELOCITY.

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9. The downward momentum. REMEMBER, YOUR ROCKET IS NO LONGER HAS A FULL ENGINE. IT IS CARRYING AN EMPTY ENGINE SO ADD THIS TO YOUR EMPTY ROCKET MASS AND CONVERT TO KILOGRAMS!

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