Final answer:
The horizontal velocity graph would be a horizontal line at the initial velocity value, reflecting constant motion. The vertical velocity graph would start at 4.90 m/s and decrease linearly with a slope of -9.8 m/s², demonstrating the effect of gravity. The vertical acceleration graph is a constant line since gravity is a constant acceleration.
Step-by-step explanation:
The question pertains to the concepts of kinematics and motion in physics. Specifically, it involves analyzing the motion of two balls, one that falls from rest and another that has an initial horizontal velocity. The velocity-time graph representing the motion of these balls would reflect both horizontal and vertical components of their velocities.
The horizontal velocity of the ball with an initial speed remains constant over time, so its velocity-time graph would be a straight, horizontal line at a constant positive value from t = 0 until t = 0.7 sec. The vertical velocity, on the other hand, is affected by gravity. The vertical velocity graph would start at 4.90 m/s at 0.05 sec, and then it should have a linear negative slope due to the constant acceleration of gravity (-9.8 m/s²), indicating a uniform decrease in vertical velocity until it reaches -0.98 m/s at t = 0.65 sec.
When drawing the graph of the ball's vertical acceleration versus time, it would be a horizontal line because the acceleration due to gravity is constant at -9.8 m/s².