Question

You fire a flare gun straight up from point 3.00 above the ground. A 25.00g flare leaves the muzzle at a speed of 225.0 km/h. How high does the flare go relative to the ground?

Answer 1

The height of the flare relative to ground is 202.3 m. This is the sum of height reached by the flare and the 3 m platform above the ground.

Maximum height reached by the flare

The maximum height reached by the flare is determined from the principle of conservation of energy as shown below;

P.E = K.E

mgh = ¹/₂mv²

gh = ¹/₂v²

h = (v²)/(2g)

where;

• v is the speed = 225 km/h = 62.5 m/s

h = (62.5)²/(2 x 9.8)

h = 199.3 m

Height of the flare relative to ground

H = 199.3 + 3

H = 202.3 m

Thus, the height of the flare relative to ground is 202.3 m. This is the sum of height reached by the flare and the 3 m platform above the ground.

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