In the absence of air resistance, how would the acceleration of a 1.5 kg book and the acceleration of a 15 kg rock difer if the objects were dropped from the same height? a They would not differ,they would be the same. b The book would accelerate twice as fast as the rock. h c The rock would accelerate twice as fast as the book. d The book would accelerate ten times as fast as the rock.

## Step 1The problem involves the concept of gravitational acceleration, which is a fundamental principle in physics. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This is mathematically represented as:### where is acceleration, is the force, and is the mass of the object.## Step 2In this problem, the force acting on both the book and the rock is the gravitational force, which is the same for both objects since they are dropped from the same height. Therefore, the acceleration of both objects should be the same, regardless of their mass.## Step 3This is because the gravitational force is the same for all objects near the Earth's surface, regardless of their mass. This is why all objects fall at the same rate in a vacuum, where there is no air resistance.