Question

Constants A pistol that fires a signal flare gives it an initial velocity (muzzle velocity) of 116 m/s at an angle of 47.5 above the horizontal. You can ignore air resistance.

Answer 1

To max height ,use formula $H=u^{2}sin^{2}\theta /(2g)$

$H=(116m/s)^{2}sin^{2}47.5 /(2*9.81)$

$H=116^{2}sin^{2}47.5 /(2*9.81)$

Part A)ANSWER: $H=372.8m$

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To find Rang,Use Formula $R=u^{2}sin2\theta /g$

$R=(116m/s)^{2}sin(2*47.5) /(9.81m/s^{2})$

$R=116^{2}sin95 /9.81$

Part B)ANSWER: $R=1366.44m$

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Sea of Tranquility ,g=1.67m/s²

To max height ,use formula $H=u^{2}sin^{2}\theta /(2g)$

$H=(116m/s)^{2}sin^{2}47.5 /(2*1.67)$

$H=116^{2}sin^{2}47.5 /(2*1.67)$

Part C)ANSWER: $H=2189.94m$

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To find Rang,Use Formula $R=u^{2}sin2\theta /g$

$R=(116m/s)^{2}sin(2*47.5) /(1.67m/s^{2})$

$R=116^{2}sin95 /1.67$

Part D)ANSWER: $R=8026.82m$

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