Final answer:
To determine the ball's speed upon impact, time in the air, and maximum height, we must apply kinematic equations, considering both vertical and horizontal components of motion, while neglecting air resistance.
Step-by-step explanation:
The question pertains to the motion of a projectile in Physics, specifically a ball thrown with an initial velocity both in the vertical and horizontal directions. When we neglect air resistance, this is a classic example of projectile motion, which can be analyzed using kinematic equations
- The speed at which the ball hits the ground can be determined by combining the constant horizontal velocity (since there is no horizontal acceleration) with the vertical velocity the ball has just before hitting the ground (affect by gravity).
- The time the ball remains in the air is calculated using the vertical component of the initial velocity and the acceleration due to gravity.
- The maximum height is determined by using kinematic equations for the vertical motion, setting the final vertical velocity to zero (when the ball reaches the highest point).
To solve for these we need to apply the equations of motion separately in the horizontal and vertical directions, and then combine the results to find the final speed and the overall trajector