Enrich · Mathematics Extension 2 11–12 – Year 12 · Applications of calculus to mechanics
Enrich Derive, from Newton’s laws of motion, ∑F = mx¨, the equation for acceleration of a particle moving vertically (upwards or downwards) in a resistive medium and under the influence of constant gravity, where the particle experiences a resistance, R, oppositely directed to the motion, whose magnitude is proportional to the first or second power of the speed
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