The greatest speed recorded by a baseball thrown by a pitcher was 162.3 km / h, obtained by Nolan Ryan in 1974. If the ball leaves the pitch

The greatest speed recorded by a baseball thrown by a pitcher was 162.3 km / h, obtained by Nolan Ryan in 1974. If the ball leaves the pitcher’s hand with a horizontal speed of this magnitude, how much will the ball have fallen? by the time you have traveled 20 m horizontally?

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  1. Answer:

    0.96 m

    Explanation:

    First, convert km/h to m/s.

    162.3 km/h × (1000 m/km) × (1 hr / 3600 s) = 45.08 m/s

    Now find the time it takes to move 20 m horizontally.

    Δx = v₀ t + ½ at²

    20 m = (45.08 m/s) t + ½ (0 m/s²) t²

    t = 0.4436 s

    Finally, find how far the ball falls in that time.

    Δy = v₀ t + ½ at²

    Δy = (0 m/s) (0.4436 s) + ½ (-9.8 m/s²) (0.4436 s)²

    Δy = -0.96 m

    The ball will have fallen 0.96 meters.

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