Final answer:
A ball thrown at a 45° angle experiences projectile motion, combining vertical and horizontal motions, with a constant horizontal velocity and a constant vertical acceleration due to gravity. Option a is the correct answer.
Step-by-step explanation:
The motion of a ball thrown at an angle of 45° combines vertical and horizontal components. This type of motion is known as projectile motion, where the motion along each axis is independent. The horizontal motion is characterized by a constant horizontal velocity because the horizontal acceleration (ax) is zero. In contrast, the vertical motion is affected by gravity, which imparts a constant downward acceleration, leading to a change in vertical velocity over time.
Graph of Ball's Horizontal Velocity
The graph of the ball's horizontal velocity versus time will be a horizontal line since the horizontal velocity (vx) remains constant during the flight if we neglect air resistance.
Graph of Ball's Vertical Acceleration Versus Time
The graph of the ball's vertical acceleration would appear as a horizontal line on a velocity-time graph positioned at the negative value of the acceleration due to gravity (approximately -9.8 m/s²) since vertical acceleration remains constant.