Final answer:
To solve a similar problem, you would need to use kinematic equations to analyze the motion of the ball. Here are the steps and strategies involved: identify known and unknown quantities, use the kinematic equation for vertical motion to find the time, use the kinematic equation for horizontal motion to find the horizontal distance.
Step-by-step explanation:
To solve a similar problem, you would need to use kinematic equations to analyze the motion of the ball. Here are the steps and strategies involved:
- Identify the known and unknown quantities. In this case, the known quantities are the horizontal speed (1.25 m/s), the height of the bench (1.00 m), and the acceleration due to gravity (9.8 m/s²).
- Use the kinematic equation for vertical motion to find the time it takes for the ball to fall from the bench to the floor:
d = (1/2)gt²
where d is the vertical displacement and g is the acceleration due to gravity. Plug in the values and solve for t. - Use the kinematic equation for horizontal motion to find the horizontal distance the ball travels while falling:
d = vxt
where d is the horizontal distance, v is the horizontal velocity, and t is the time calculated in the previous step. Plug in the values and solve for d.