Given the information, it seems like you're describing a projectile motion scenario. In such a case, the object is launched at an initial velocity (`vo`) and moves under the influence of gravity. However, the provided information seems to be incomplete or unclear for creating the specific graphs. Here's a general guide on how you might approach this:
1. **x (m) time graph**: This graph would show the horizontal displacement of the object over time. If the object is launched horizontally, this would typically be a straight line, as the horizontal velocity is constant in ideal projectile motion.
2. **vx (m/s) time graph**: This graph would show the horizontal velocity of the object over time. In ideal projectile motion, this would be a horizontal line, as there is no horizontal acceleration.
3. **ax (m/s^2) time graph**: This graph would show the horizontal acceleration of the object over time. In ideal projectile motion, this would be a line on the x-axis, as there is no horizontal acceleration.
4. **y (m) time graph**: This graph would show the vertical displacement of the object over time. This would typically be a downward-opening parabola in projectile motion, as the object rises and then falls under gravity.
5. **vy (m/s) time graph**: This graph would show the vertical velocity of the object over time. This would typically be a straight line sloping downwards, as the object slows down, stops at the peak of its trajectory, and then speeds up as it falls.
6. **ay (m/s^2) time graph**: This graph would show the vertical acceleration of the object over time. This would be a horizontal line at the negative value of the acceleration due to gravity, as the only vertical acceleration is the constant acceleration due to gravity¹²³.
To create these graphs with the specific values you provided, we would need more information, such as the launch angle, or the initial horizontal and vertical velocities. Could you provide these details?