What type of weathering is RUSTING?
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The object's kinetic energy changes according to
d<em>K</em>/d<em>t</em> = 15 J/s
If <em>v</em> is the object's initial speed, then its initial kinetic energy is
<em>K</em> (0) = 1/2 (5 kg) <em>v</em> ²
Use the fundamental theorem of calculus to solve for <em>K</em> as a function of time <em>t</em> :
After <em>t</em> = 13 s, the object's kinetic energy is
<em>K</em> (13 s) = 1/2 (5 kg) (13 m/s)² = 422.5 J
Put this as the left side in the equation above for <em>K(t)</em> and solve for <em>v</em> :
==> <em>v</em> ≈ 9.5 m/s