Final answer:
Acceleration due to Earth's gravity is maximum at the surface, particularly at the equator due to the direction of centripetal acceleration; at the poles, centripetal acceleration is nearly zero. Gravity's acceleration is influenced by the radius of curvature and the Earth's rotation, which affects the magnitude of centripetal forces.
Step-by-step explanation:
The question pertains to the acceleration due to Earth's gravity at different locations and conditions. A linear displacement versus time plot implies constant velocity, which means acceleration is zero. The acceleration due to gravity is maximum at the surface and decreases with altitude; however, at the poles, the centripetal acceleration approaches zero.
In contrast, at the equator it is maximum because the centripetal acceleration is in the same direction as gravity. Additionally, centripetal acceleration decreases with the cosine of the latitude angle. This centripetal force affects building constructions and the way plumb bobs align. Gravity's acceleration is not only affected by the Earth's spin but also by the radius of curvature, which affects the magnitude of centripetal forces experienced.