$A5\mathrm{.}00kg-$ object has a velocity $(4\mathrm{.}00i-3\mathrm{.}00j)\frac{m}{s}.$

$($a$)$ What is the kinetic energy at this moment?

$(3$ points$)$

$($b$)$ What is the net work done on the object if its velocity changes to $(10\mathrm{.}00i+7\mathrm{.}00j)\frac{m}{s}?$

$(7$ points$)$

$A6\mathrm{.}50-kg$ objectpasses through the origin at time $t=0$ such that its $x$ component of velocity is $5\mathrm{.}4\frac{m}{s}$ and its y component of velocity is $-4\mathrm{.}2\frac{m}{s}.$

$($a$)$ What is the kinetic energy of the object at this time? $(4$ points$)$

$($b$)$ At a later time $t=2\mathrm{.}20s,$ the particle is located at $x=10\mathrm{.}50m$ and $y=9\mathrm{.}75m.$ What constant force acted on the object during this time interval? $(3$ points$)$

$($c$)$ What is the speed of the particle at $t=2\mathrm{.}20s?$

$(3$ points$)$