a) Given :at t= 0 , x= 0uy=10 m/s , ux=0ax=8 m/s2 , ay=2 m/s2x= uxt+12×ax×t216=12×8 ×t2t2=4t = 2 secy = uyt+12×ay×t2y=10 ×2+12×2×22y =20+ 4 = 24 m(b)vx=ux+ax×tvx=0+8×2vx=16 i⏜vy=uy+ay×t = 10+2×2 = 10 + 4 = 14 j^v=16 i⏜+ 14 j^So , speed =256+196=21 26 m/s

board question .

a) G i v e n : a t t = 0, x = 0 u_{y} = 10 m / s, u_{x} = 0 a_{x} = 8 m / s^{2}, a_{y} = 2 m / s^{2} x = u_{x} t + \frac{1}{2} \times a_{x} \times t^{2} 16 = \frac{1}{2} \times 8 \times t^{2} t^{2} = 4 t = 2 s e c y = u_{y} t + \frac{1}{2} \times a_{y} \times t^{2} y = 10 \times 2 + \frac{1}{2} \times 2 \times 2^{2} y = 20 + 4 = 24 m (b) v_{x} = u_{x} + a_{x} \times t v_{x} = 0 + 8 \times 2 v_{x} = 16 \overset{⏜}{i} v_{y} = u_{y} + a_{y} \times t = 10 + 2 \times 2 = 10 + 4 = 14 \hat{j} v = 16 \overset{⏜}{i} + 14 \hat{j} S o, s p e e d = \sqrt{256 + 196} = 21.26 m / s

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