A particle has an initial velocity of $3 i^{\wedge}+4^{\wedge} j$ and an acceleration of $0.4 i^{\we

Question

A particle has an initial velocity of $3 i^{\wedge}+4^{\wedge} j$ and an acceleration of $0.4 i^{\wedge}+0.3^{\wedge} j$. Its speed after 10 s is :\

Professor PC Thomas Classes · Answer

$\mathrm{V}_{\mathrm{x}}=\mathrm{u}_{\mathrm{x}}+\mathrm{a}_{\mathrm{x}} \mathrm{t}$\ $v_{y}=u_{y}+a_{y} t$\ $\mathrm{v}_{\mathrm{x}}-3+0.4 	imes 10=7$\ $\mathrm{v}_{\mathrm{y}}=4+0.3 	imes 10=7$\ $\mathrm{v}=\sqrt{\mathrm{v}_{\mathrm{x}}^{2}+\mathrm{v}_{\mathrm{y}}^{2}}=7 \sqrt{2}$