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show a graph of displacement against time for an object in simple harmonic motion starting at the positive amplitude

state the formula for the displacement of an object in simple harmonic motion after starting at the positive amplitude
x = Acos(ωt)
displacement (m) = amplitude (m) x cos(angular frequency (rads-1) x time (s))
show a graph of displacement against time for an object in simple harmonic motion starting at the equilibrium position

state the formula for the displacement of an object in simple harmonic motion after starting at the equilibrium position
x = Asin(ωt)
displacement (m) = amplitude (m) × sin(angular frequency (rads-1) × time (s))
show a graph of velocity against time for an object in simple harmonic motion

state the formula for the velocity of an object in simple harmonic motion
v = ±ω√(A2 - x2)
velocity (ms-1) = ±angular frequency × √(amplitude2 - displacement2)
state the formula for the velocity of an object at the equilibrium position in simple harmonic motion
vmax = ωA
velocity at equilibrium position (ms-1) = angular frequency (rads-1) × amplitude (m)
show a graph of acceleration against time for an object in simple harmonic motion
