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(a) Position of the particle is given by x(t) = x0 + v0 t. What is the velocity

ID: 2225440 • Letter: #

Question

(a) Position of the particle is given by x(t) = x0 + v0 t. What is the velocity of the particle vx (t) =? What is the acceleration the particle ax (t) =? (b) Position of the particle is given by x(t) = x0 + v0 t + at/2 . What is the velocity of the particle vx (t) =? What is the acceleration the particle ax (t) =? (c) Position of the particle is given by x(t) = x0 + v0 t + at/2 + bt3 . What is the velocity of the particle vx (t) =? What is the acceleration the particle ax (t) =? (d) Position of the particle is given by x(t) = x0 sin(?t). What is the velocity of the particle vx (t) =? What is the acceleration the particle ax (t) =?

Explanation / Answer

(A)x(t) = x0 + v0 t v(t) =dx/dt =v0 (ANS) a(t)=dv/dt =0(ANS) (B) x(t) = x0 + v0 t + at/2 v(t) =dx/dt =v0+a/2 (ANS) a(t) =dv/dt =0 (ANS)