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  • Calculating Initial Velocity of an Upward-Thrown Ball: What You Need to Know
    You're likely asking about the initial velocity of a ball thrown upward. However, the information provided is incomplete. You need to know either:

    * The time it takes for the ball to reach its highest point: This would allow you to calculate the initial upward velocity using kinematic equations.

    * The maximum height the ball reaches: This would also allow you to calculate the initial velocity.

    Here's how you'd approach it with the time:

    1. Understanding the problem: When a ball is thrown upward, its velocity decreases due to gravity until it momentarily stops at its highest point.

    2. Using the kinematic equation: We can use the equation *v* = *u* + *at*, where:

    * *v* = final velocity (0 at the highest point)

    * *u* = initial velocity (what we want to find)

    * *a* = acceleration due to gravity (-32 ft/s²) (negative as it acts downwards)

    * *t* = time to reach the highest point

    3. Solving for initial velocity: Rearranging the equation, we get *u* = *v* - *at*. Substitute the known values and solve for *u*.

    Example: If the ball reaches its highest point in 1 second, then:

    * *u* = 0 - (-32 ft/s²)(1 s) = 32 ft/s

    Let me know if you have the time or maximum height, and I can help you calculate the initial velocity.

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