Final answer:
The weight of the rock when it is accelerating downward at 3.5 m/s² can be calculated using the formula Weight = Mass * Acceleration due to gravity.
Step-by-step explanation:
The weight of an object is equal to its mass multiplied by the acceleration due to gravity. In this case, the weight of the rock when it is at rest is 138 N. Since the rock is accelerating downward at 3.5 m/s², the weight can be calculated using the formula:
Weight = Mass × Acceleration due to gravity
Let's assume the mass of the rock is 'm'. The acceleration due to gravity is approximately 9.8 m/s² on Earth. So, when the rock is accelerating downward at 3.5 m/s², its weight can be calculated as:
Weight = m × 3.5 m/s²