9th grade physics sketch a picture of the initial total velocity for the projectile when the angle is at 0 degrees, 30 degrees and 60 degrees. Resolve each into vertical and horizontal components. No velocity given
Vo[0o]
Xo = Vo*Cos0 = Vo
Yo = Vo*sin0 = 0
Vo[30o]
Xo = Vo*Cos30 = 0.87Vo
Yo = Vo*sin30 = 0.5Vo
Vo[60o]
Xo = Vo*Cos60 = 0.5Vo
Yo = Vo*sin60 = 0.87Vo
To sketch a picture of the initial total velocity for a projectile at different angles, we can start by understanding the concept of projectile motion. In projectile motion, an object is launched into the air and moves along a curved path due to the combined effect of its initial horizontal velocity and its initial vertical velocity.
To find the initial total velocity, we need to resolve it into its vertical and horizontal components using trigonometry. The vertical component represents the velocity in the upward (positive) or downward (negative) direction, and the horizontal component represents the velocity in the horizontal direction.
Let's calculate the vertical and horizontal components for the given angles:
1. Angle = 0 degrees:
- The total velocity is purely horizontal, as there is no vertical component.
- The vertical component is zero (V_y = 0)
- The horizontal component is non-zero and represents the initial total velocity (V_x = V_initial)
2. Angle = 30 degrees:
- The total velocity has both vertical and horizontal components.
- The vertical component can be found using the formula V_y = V_initial * sin(angle).
- The horizontal component can be found using the formula V_x = V_initial * cos(angle).
3. Angle = 60 degrees:
- Similar to 30 degrees, the total velocity has both vertical and horizontal components.
- Use the same formulas to calculate the vertical (V_y = V_initial * sin(angle)) and horizontal components (V_x = V_initial * cos(angle)).
To sketch the picture, draw a coordinate system with the horizontal axis (x-axis) and vertical axis (y-axis). At each angle, draw an arrow representing the total velocity vector, and label the vertical and horizontal components accordingly.
Remember that the magnitude of the total velocity vector will be the same for all three angles, while the angle at which it is inclined will change.