What are the acceleration and final velocity of a 3.5 kg object sliding down a frictionless incline?

To determine the acceleration and final velocity of an object sliding down a frictionless incline, you can use the principles of Newtonian mechanics. When an object is on an incline, the acceleration due to gravity acting on it can be affected by the angle of the incline.

For an incline at an angle θ, the acceleration a of the object down the slope is given by the equation:

[ a = g \cdot \sin(θ) ]

where g is the acceleration due to gravity, approximately ( 9.81 , \text{m/s}^2 ). The final velocity can then be calculated using kinematic equations, specifically when starting from rest:

[ v = a \cdot t ]

where t is the time the object has been sliding down the incline. If time or distance isn't given, you can also utilize the work-energy principle or the kinematic equation that relates initial velocity, final velocity, acceleration, and distance.

The key to the given problem is that option B asserts an acceleration of ( 5.6 , \text{m/s}^2 ) and a final velocity of ( 8.9 , \text{m/s} ). If these values are derived correctly considering