1) E.G. The displacement of a particle at time t is given by: r = 4t^2i + (3t -5t^3)j +6tk Find expressions for its velocity. a) v = 8ti + (3-15t^2)j +6k b) v = 8ti + (3-15t^3)j +6k c) v = 8ti + (3-15t^2)j +6tk d) v = 8i + (3-15t^2)j +6tk 2) E.G. The displacement of a particle at time t is given by: r = 4t^2i + (3t -5t^3)j +6tk Find expressions for its acceleration. a) a = 8ti + (3-15t^2)j +6k b) a = 8i - 30tj c) a = 8i - 30tj + 6k d) a = 8ti - 30tj + 6tk 3) Eg. The velocity of a particle at time t is given by v = 6t^2i + (3t^2 - 8t)j +2k Find an expression for its displacement at time t, given r = 5i -6j + k at t=0. a) r=(t^3-4t^2)j+(2t)k b) r=(2t^3)i+(t^3-4t^2)j c) r=(2t^3)i+(t^3-4t^2)j+(2t)k d) Doesn't exist e) r=(2t^3+5)i+(t^3-4t^2-6)j+(2t+1)k 4) Differentiate y = sin x a) Cos x b) Sin x c) Tan x d) -Cos x e) -Sin x f) -Tan x 5) Differentiate y = cos x a) Cos x b) Sin x c) Tan x d) -Cos x e) -Sin x f) -Tan x 6) Three Important things about moments: - Magnitude - Where it is applied and .... a) Sugar b) Distance c) Direction 7) Moment of a force = a) Force x distance b) Mass x acceleration c) v + ut

Mechanics ch 1 and 2

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