Solution: Using x()=xo+Iro/x 2 and vr(()=vro+a,t,we have 21(0s<t<2s) (a)x()={4(2s≤t≤3s) b)10)2t-12(0s<t<2s) 10-2t(3<t<4s) 2t+4(2S≤t<4s) x xL +t2(0s<t<2s) ()x()=-2t+12 (d)x(o 4--t2-6(2sst<4s) L -0.5 (e)x()=2 t2(0s<t<2s) 4-t(2s51<4s) II. Give the solutions of the following problemsSolution: Using 2 0 0 2 1 x(t) x v t a t = + x + x and v t v a t x = x 0 + x ( ) , we have (a) ⎪ ⎩ ⎪ ⎨ ⎧ − < < ≤ ≤ < < = 10 2 (3s 4s) 4 (2s 3s) 2 (0s 2s) ( ) t t t t t x t (b) ⎩ ⎨ ⎧ − + ≤ < − < < = 2 4 (2s 4s) 2 (0s 2s) ( ) 2 t t t t t x t (c) 2 2 1 x(t) = −2t + t (d) ⎪⎩ ⎪ ⎨ ⎧ − − ≤ < − + < < = 6 (2s 4s) 2 1 4 2 (0s 2s) ( ) 2 2 t t t t t t x t (e) ⎪⎩ ⎪ ⎨ ⎧ − ≤ < < < = 4 (2s 4s) (0s 2s) 2 1 ( ) 2 t t t t x t III. Give the Solutions of the Following Problems 1 2 3 4 tHsL 1 2 3 4 xHmL 1 2 3 4 tHsL -4 -3 -2 -1 1 xHmL 1 2 3 4 tHsL -1 -0.5 0.5 1 1.5 2 m x 1 2 3 4 tHsL 0.5 1 1.5 2 xHmL 1 2 3 4 tHsL -2 -1.5 -1 -0.5 xHmL