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The relationship between the initial horizontal velocity of a projectile and the distance it travels on an inclined plane is governed by the principles of physics, specifically kinematics.

In the context of projectile motion, the initial horizontal velocity (Vx) of a projectile is the speed at which it is launched in the horizontal direction. This velocity remains constant throughout the flight of the projectile, assuming no air resistance.

The distance a projectile travels on an inclined plane (d) is influenced by several factors, including the initial horizontal velocity, the angle of the incline (?), and the acceleration due to gravity (g).

The equation that describes this relationship is: d = (Vx^2 / g) * sin(2?)

Hypothesis

If the initial horizontal velocity of a projectile is increased, then the distance it travels on an inclined plane will also increase, assuming the mass of the ball remains constant.

Variables

Independent variable	the initial horizontal velocity of the projectile.
Dependent variable	the distance the projectile travels on the inclined plane.
Controlled variable	the mass of the ball.

Materials

1. Inclined plane

2. Ball (with constant mass)

3. Measuring tape or ruler

4. Protractor

5. Stopwatch or timer

6. Safety goggles

Procedure:

1. Set up the inclined plane at a convenient height.

2. Measure the angle of inclination using the protractor.

3. Release the ball from the same starting point at the top of the inclined plane.

4. Use the stopwatch to measure the time it takes for the ball to reach the bottom of the inclined plane.

5. Measure the horizontal distance traveled by the ball using the measuring tape or ruler.

6. Repeat steps 3-5 for different angles of inclination (10, 20, 30, 40, 50).

7. Record your observations and data in a table.

Results

Calculating the average velocity of the ball

Angle	Trial.1	Trial.2	Trial.3	Average	Distance(m)	Average Velocity ms-1
10	0.40	0.42	0.44	0.42	0.05	0.12
20	0.22	0.23	0.24	0.23	0.05	0.22
30	0.12	0.11	0.14	0.12	0.05	0.42
40	0.07	0.08	0.08	0.08	0.05	0.63
50	0.06	0.04	0.08	0.06	0.05	0.83

Average Velocity Average Distance (m) - Average Velocity ms-1 0.9 0.83 0.8 0.7 0.63 0.6 0.5 0.4 0. 0.42 0.3 0.2 0:29 0.1 0.12 0.12 0.05 0.05 0.05 8:89 0.06 0 10 20 30 40 50