An apple falls from an apple tree growing on a 20° slope. The apple hits the ground with an impact velocity of 14 m/s straight downward. What is the component of the apple's impact velocity parallel to the surface of the slope?

8.3 1.8 m/s

3.8 m/s
2.8 m/s
4.9 m

4,8 m/s

To find the component of the apple's impact velocity parallel to the surface of the slope, we need to consider the angle of the slope and the vertical velocity of the apple.

First, let's break down the impact velocity into its horizontal and vertical components. Since the apple hits the ground straight downward, the vertical component of the impact velocity is the full 14 m/s.

Now, let's focus on the slope of the tree. The given information mentions that the tree is growing on a 20° slope. The slope forms an angle of 20° with the horizontal.

To find the component of the impact velocity parallel to the surface of the slope, we need to find the horizontal component of the velocity. This can be done by using trigonometry. Specifically, we will use the sine function.

The horizontal component of the velocity (Vx) can be found using the equation:

Vx = V * sin(θ)

where V is the total velocity and θ is the angle of the slope (20° in this case).

Plugging in the values, we have:

Vx = 14 m/s * sin(20°)

Calculating this expression, we find:

Vx ≈ 4.76 m/s

Therefore, the component of the apple's impact velocity parallel to the surface of the slope is approximately 4.76 m/s.