Answer:
[tex]a = 0\,\frac{m}{s^{2}}[/tex]
Explanation:
Let consider the following system, which is described in the image attached below and two reference axis, one parallel and the other perpendicular to the direction of motion. The corresponding equations of equilibrium are described herein:
[tex]\Sigma F_{n} = T - m\cdot g \cdot \cos \theta = 0[/tex]
[tex]\Sigma F_{t} = m\cdot g \cdot \sin \theta = m\cdot a[/tex]
The acceleration of the bowling ball at the lowest point occurs at [tex]\theta = 0^{\textdegree}[/tex]
[tex]m\cdot g \cdot \sin \theta = m\cdot a[/tex]
[tex]g\cdot \sin \theta = a[/tex]
[tex]a = 0\,\frac{m}{s^{2}}[/tex]