a water slide is in inclined at 18 degrees and is 25.6 m long.what is the acceleration and the velocity?

To find the acceleration and velocity of an object on an inclined plane, we can use the principles of trigonometry and kinematics.

1. Start by breaking down the forces acting on the object on the inclined plane.
- The force of gravity acting vertically downward can be broken down into two components: one perpendicular to the inclined plane (normal force) and one parallel to the inclined plane (weight or gravitational force).

2. Determine the components of the gravitational force.
- The weight of the object (mg) can be broken down into two components:
- The component parallel to the inclined plane is mg * sin(θ), where θ is the angle of inclination (18 degrees).
- The component perpendicular to the inclined plane is mg * cos(θ).

3. Find the net force acting on the object.
- The net force is the difference between the parallel component of the weight and any frictional force present.

4. Apply Newton's second law to find the acceleration.
- Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
- Rearrange the equation to find the acceleration: a = F/m.

5. Calculate the velocity of the object.
- Use the kinematic equation: v = u + at, where v is the final velocity, u is the initial velocity (assumed to be 0 since the object starts from rest), a is the acceleration, and t is the time taken.

Now, let's calculate the acceleration and velocity using the given information:
- Angle of inclination (θ) = 18 degrees
- Length of the water slide (s) = 25.6 m

Step 2:
- Parallel component of weight = mg * sin(18 degrees)
- Perpendicular component of weight = mg * cos(18 degrees)

Step 4:
- The net force acting on the object is given by F_net = Parallel component of weight - Frictional force (Assuming no friction).

Step 5:
- Since the object starts from rest, the initial velocity (u) is 0, and we can use the kinematic equation: v^2 = u^2 + 2as, where a is the acceleration and s is the distance traveled.

Let's calculate the acceleration and velocity using these steps:
Mass (m) is required for further calculations. Could you please provide the mass of the object?