Scott,+Heba,+Paul,+Danica-+Data

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Data


 * Rocket Engine || B6-4 ||
 * Mass of rocket with unused B6-4 engine || 0.0744kg ||
 * Mass of rocket with used B6-4 engine || 0.0742kg ||
 * Time Up || 4.6s ||
 * Time Down || 8.7s ||
 * Angle || 45 ˚ ||
 * Recovery System Deploys || No ||

Analysis

The following calculations for the data above do not take into consideration air resistance, but are theoretical.

Average mass of rocket during thrust phase = (74.4g + 74.2g)/2 = 74.3g

Altitude achieved = 50m(tan45°) = 50m

Average velocity during ascent: vavg = Δd/Δt = 50m/4.6s ≅ 11m/s

Average velocity during descent: vavg = Δd/Δt = 50m/8.7s ≅ 6m/s

Force of gravity on the rocket: Fg = ma Fg = 0.0743kg(9.8m/s2) Fg ≅ 0.73N

Acceleration during the thrust phase (The thrust produced by a B6-4 engine is 6N): Fnet = ma (6 – 0.73)N= 0.0743kg(a) <span style="font-family: Arial,Helvetica,sans-serif;">a ≅ 71m/s2

<span style="font-family: Arial,Helvetica,sans-serif;">Maximum velocity achieved during thrust phase, given a B6-4 engine thrusts for 0.81s: <span style="font-family: Arial,Helvetica,sans-serif;">V2 = V1 + at <span style="font-family: Arial,Helvetica,sans-serif;">V2 = 0m/s + (71m/s2)(0.81s) <span style="font-family: Arial,Helvetica,sans-serif;">V2 ≅ 58m/s …(1)

<span style="font-family: Arial,Helvetica,sans-serif;">Velocity of rocket upon impact with ground, considering that the parachute did not deploy: <span style="font-family: Arial,Helvetica,sans-serif;">V2 = V1 + at <span style="font-family: Arial,Helvetica,sans-serif;">V2 = 0m/s + (9.8m/s2)(8.7s) <span style="font-family: Arial,Helvetica,sans-serif;">V2 ≅ -85m/s …(2)

<span style="font-family: Arial,Helvetica,sans-serif;">From the time data and lines (1) and (2) above, a velocity-time graph may be drawn.

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