17 Simple Harmonic Motion

17 Simple Harmonic Motion - 17. SIMPLE HARMONIC MOTION 1. A...

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Unformatted text preview: 17. SIMPLE HARMONIC MOTION 1. A particle is moving along the x-axis with velocity given by 2 sin 3 ) ( t t v = where 3 3 t . (a) [2 marks] Determine the change in displacement of the particle during the given time interval. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[4 marks] Determine the total distance travelled by the particle during the given time interval. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 107 17. Simple Harmonic Motion 2. The temperature C in degrees Celsius of soil at depth 1 metre below the ground surface may be described by ) ( 3 1 5 t g C + = where t is time in months and t = 0 corresponds to the end of winter. The function g(t) satisfies g dt g d 36 2 2 2 - = . Find an expression for C given that C = 2 at t = 0 and C = 5 at t = 3. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________...
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17 Simple Harmonic Motion - 17. SIMPLE HARMONIC MOTION 1. A...

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