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a ball with a horizontal speed of 1.25 m/s rolls off a bench 1.00 m above the floor. for the steps and strategies involved in solving a similar problem, you may view a

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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:

  1. 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).
  2. 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.
  3. 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.

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