Sorry im really stuck, help please. trying to figure out which formula to use...

Question

Sorry im really stuck, help please.
trying to figure out which formula to use....


A pistol that fires a signal flare gives it an initial velocity (muzzle velocity) of 132 at an angle of 48.8 above the horizontal. You can ignore air resistance.

Find the flare's maximum height if it is fired on the level salt flats of Utah.
















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Part B

Find the distance from its firing point to its landing point if it is fired on the level salt flats of Utah.
















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Part C

Find the flare's maximum height if it is fired over the flat Sea of Tranquility on the Moon, where .
















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Part D

Find the distance from its firing point to its landing point if it is fired over the flat Sea of Tranquility on the Moon, where .
















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Explanation / Answer

I did a mistake in last answer in D) part

Velocity : 132 m/s

at an angle of 48.8 degrees from the horizontal.

Vertical Velocity Vx = 132 sin(48.8)

Horizontal Velocity (Vy) = 132 cos(48.8)

A) Maximum Height

v2 = u2 + 2as

Final velocity at maximum height would be zero.

s = (Vy)2 / 2 a

= (132 x sin(48.8))2 / 2 x 9.8 = 503.27 m

B) Horizontal distance travelled

Time of flight

v = u + at

v = 0

t = Vy / a = 10.13 s

Horizontal Distnace covered : Vx x t = 132 x cos(48.8) x 10.13 = 880.77 m

C) Maximum Height at moon

At moon g = g/6

Maximum height would be six times that of Earth = 6 x 503.27 =3019.62m

D) Horizontal Distance

The time of flight would become 6 times

t = 10.13 x 6 = 60.78 s

Horizontal Distance travelled = Vx x t = 132 x cos(48.8) x 60.78 = 5284.63m

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