Engineering Mechanics
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)

ω².√(r² - y²)
ω.√(y² - r²)
ω².√(y² - r²)
ω.√(r² - y²)

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = x. tanα - (gx²/2u² cos²α)
y = (gx²/2u² cos²α) - x. tanα
y = x. tanα + (gx²/2u² cos²α)
y = (gx²/2u² cos²α) + x. tanα

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