Final answer:
The acceleration of the block down an incline is calculated by a = g × sin(θ). For an angle of 42°, with 'g' being 9.8 m/s² and the sine of 42 degrees approximately 0.6691, the acceleration would roughly be 6.55778 m/s². Comparing our result with the given options, none match exactly, thereby indicating the need for precise value comparisons during the calculation.
Step-by-step explanation:
The acceleration of the block down an incline can be found using the formula a = g × sin(θ), where a represents the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline. The acceleration of the block down an incline is calculated by a = g × sin(θ).
For an angle of 42°, with 'g' being 9.8 m/s² and the sine of 42 degrees approximately 0.6691, the acceleration would roughly be 6.55778 m/s². Comparing our result with the given options, none match exactly, thereby indicating the need for precise value comparisons during the calculation.
For an angle of 42°, the calculation would be a = 9.8 × sin(42°). Using a calculator, we find that sin(42°) ≈ 0.6691, and hence the acceleration is a ≈ 9.8 × 0.6691 ≈ 6.55778 m/s². However, this number does not match any of the provided options exactly. To correctly answer the question, one would carry out the calculation with precise values, possibly rounded differently during the process, and compare to the given options.