Physics 105 SSII 20118 8 of B Let the x ais be y axis point upwardli, the tinse
ID: 1730485 • Letter: P
Question
Physics 105 SSII 20118 8 of B Let the x ais be y axis point upwardli, the tinse intervaltom t-010 t_4S,the of the car along a certain section of the track is given by Derive a general expression for the speed t of the car Make sure that your expression would give the corect value for the speed (in ms) but you don't need to put in anything explicily about units (unlike what you see in the original expression for ) Express your answer in meters per second in terms of A and t View Available Hinals) The roller coaster is designed according to safety regulations that prohiblt the speed of the car from exceeding 20 m/s Find the maximum value of A allowed by these regulations Type here to search 0lExplanation / Answer
Solution :
A) Descending
B) vx = drx/dt = A
vy = dry/dt = 3At2 - 12At
So, v = sqrt( vx2 + vy2) = sqrt (A2 + (3At2 - 12At)2) m/s
C) 4A + 43A - 6(42) = 20
68 A - 96 = 20
68 A = 116
A = 116/68 = 1.7
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