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12 October, 05:46

A pet-store supply truck moves at 25.0 m/s north along a highway. inside, a dog moves at 1.75 m/s at an angle of 35.0° east of north. what is the velocity of the dog relative to the road

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Answers (2)
  1. 12 October, 08:24
    0
    26.5 m/s at 2.17° east of north

    Explanation:

    The velocity component in the north direction:

    vᵧ = 25.0 m/s + 1.75 m/s cos 35.0°

    vᵧ = 26.4 m/s

    The velocity component in the east direction:

    vₓ = 1.75 m/s sin 35.0°

    vₓ = 1.00 m/s

    The magnitude of the velocity is:

    v² = vₓ² + vᵧ²

    v² = (1.00 m/s) ² + (26.4 m/s) ²

    v = 26.5 m/s

    The direction is:

    θ = atan (vₓ / vᵧ)

    θ = atan (1.00 m/s / 26.4 m/s)

    θ = 2.17° east of north
  2. 12 October, 09:04
    0
    15.0 m/s^2
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