$x=10\cos\left(\pi t+\dfrac{\pi}{4}\right)cm$
a,
$v_{CB}=v_{\max}=A\omega=10\pi(cm/s)$
$a_{CB}=a_{\min}=0$
b,
$v_{\text{biên}}=v_{\min}=0$
$a_{\text{biên}}=a_{\max}=A\omega^2=10\pi^2\approx 100(cm/s^2)$
c,
$v=x'=-10\pi\sin\left(\pi t+\dfrac{\pi}{4}\right)$
$a=v'=-10\pi^2\cos\left(\pi t+\dfrac{\pi}{4}\right)$
Tại $t=0s$:
$x_o=10\cos\dfrac{\pi}{4}=5\sqrt2(cm)$
$v_o=-10\pi.\sin\dfrac{\pi}{4}=-5\pi\sqrt2(cm/s)$
$a_o=-10\pi^2\cos\dfrac{\pi}{4}\approx -50\sqrt2(cm/s^2)$
d,
Tại $t=\dfrac{1}{2}s$:
$x=10\cos\left(\pi.\dfrac{1}{2}+\dfrac{\pi}{4}\right)= -5\sqrt2(cm)$
$v=-10\pi\sin\left( \pi.\dfrac{1}{2}+\dfrac{\pi}{4}\right)= -5\pi\sqrt2(cm/s)$
$a=-10\pi^2\cos\left( \pi.\dfrac{1}{2}+\dfrac{\pi}{4}\right)\approx 50\sqrt2(cm/s^2)$