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A fly in a room is flying on a bearing of 204, degrees,204
∘
at a speed of 0, point, 36, m, s, to the power minus 1 ,0.36ms
−1
. Sunlight streams horizontally westward across a room, forming a shadow of the fly on the west wall. How fast does the shadow move? Give your answer to 2 significant figures.

Answer :

ONYEBUCHINNAJIGO

The horizontal velocity of the shadow is -0.33 m/s

The given parameters;

  • initial velocity of the fly, V₀ = 0.36 m/s
  • angle of projection of the fly, θ = 204°

The horizontal velocity of the shadow is relative to the horizontal velocity of the fly.

The horizontal velocity of the shadow is calculated as follows;

Vₓ = V₀Cosθ

Vₓ = (0.36)Cos(204)

Vₓ = (0.36)(-0.9135)

Vₓ = -0.33 m/s

Thus, the horizontal velocity of the shadow is -0.33 m/s

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