Answer
$h''(t)=-10\cos{t}+15\sin{t}.$
Work Step by Step
$h'(t)=\dfrac{d}{dt}(10\cos{t})-\dfrac{d}{dt}(15\sin{t})=-10\sin{t}-15\cos{t}.$
$h''(t)=\dfrac{d}{dt}(-10\sin{t})+\dfrac{d}{dt}(-15\cos{t})=-10\cos{t}+15\sin{t}.$
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