Question

questions is on that picture. ​

Answer 1

$\large\rm{ v = 10 \pi \displaystyle{\int} \rm{\sin \Bigg ( \dfrac{\pi}{5} t \Bigg ) }}$

$\large\rm$

$\large\rm{ x = \int vdt}$

$\large\rm$

$\large\rm{ = 10 \pi \int \sin \Bigg ( \dfrac{ \pi t}{5} \Bigg ) dt}$

$\large\rm$

$\large\rm{ = -50 \cos \Bigg ( \dfrac{\pi}{5} t + \pi \Bigg ) cm}$