a stone rolls off the edge of a vertical cliff. neglecting air resistance, which of the following describes its subsequent motion?
Vertically Horizontally
A Increasing velocity Decreasing velocity
B Constant velocity Constant acceleration
C Constant acceleration Constant velocity
D Increasing acceleration Decreasing velocity
There is NO horizontal force so there is NO horizontal velocity change
there is a constant acceleration of g downwards
constant acceleration vertical , constant u horizontal
The correct answer is D: Increasing acceleration, decreasing velocity.
When a stone rolls off the edge of a vertical cliff, the only force acting on it is gravity. Gravity causes the stone to accelerate downwards, meaning its velocity increases over time. This is why the stone's acceleration is increasing.
However, as the stone falls, its velocity in the horizontal direction remains constant. This is because there is no horizontal force acting on the stone to change its velocity. Therefore, its horizontal velocity is constant.
To determine the subsequent motion of a stone rolling off the edge of a vertical cliff, we can consider the forces acting on the stone. Neglecting air resistance implies that the only force acting on the stone is gravity.
Initially, when the stone is at the edge of the cliff, it has a vertical velocity of zero (since it has not started falling yet) and no horizontal velocity. As the stone starts to fall, gravity will accelerate it downward.
Now let's analyze the options:
A. Increasing velocity: This option is incorrect because the stone will not have increasing velocity. Although it is accelerating due to gravity, its velocity will change direction from downward to downward and forward but not increase in magnitude.
B. Constant velocity: This option is incorrect because the stone will not have constant velocity. It will initially have zero velocity and then change as it accelerates due to gravity.
C. Constant acceleration: This option is incorrect because the stone will not have constant acceleration. The stone will experience a constant gravitational acceleration downward as it falls.
D. Increasing acceleration: This option is also incorrect because the stone will not experience increasing acceleration. It will have a constant acceleration due to gravity, which is approximately 9.8 m/s^2 near the Earth's surface.
Therefore, the correct answer is C) Constant acceleration. The stone will experience a constant gravitational acceleration downward as it falls off the cliff.