Vector A has a length of 3 cm and points 37∘ west of north. Vector B has a length of 7 cm and points 27∘ east of north. What is the length o?
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1. Vector A has a length of 3 cm and points 37∘ west of north. Vector B has a length of 7 cm and points 27∘ east of north. What is the length of the northern component of A + B? ...show more
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Answer:
1. Use standard angles: Θa = 127º and Θb = 63º north component A+B = 3cm*sin127º + 7cm*sin63º = 8.6 cm 2. 45º. Always. range = (V²sin(2Θ))/g is maximized when sin(2Θ) = 1. 3. max. height = (V·sinΘ)² / (2g) = (30m/s * sin28º)² / 19.6m/s² = 10 m 4. time of flight = 2·Vo·sinΘ/g = 2 * 30m/s * sin28º / 19.6m/s² = 1.4 s
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