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cestrela7 [59]
3 years ago
5

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 n

orth. what is the velocity of the dog relative to the road
Physics
2 answers:
kakasveta [241]3 years ago
4 0

Answer:

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

Oduvanchick [21]3 years ago
3 0

Answer:

15.0 m/s^2

Explanation:

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