Nathan is walking to the store and sees a snake slithering across the sidewalk. He jumps over it with an initial vertical velocity of 10 ft/

Question

Nathan is walking to the store and sees a snake slithering across the sidewalk. He jumps over it with an initial vertical velocity of 10 ft/s. How long does it take for Nathan to land back on the ground

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RobertKer 6 months 2021-07-29T15:38:45+00:00 1 Answers 5 views 0

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    2021-07-29T15:40:20+00:00

    Answer:

    0.62\:\mathrm{s}

    Explanation:

    Since the universal SI unit for velocity is meters/second, let’s convert ft/s to m/s:

    10\:\mathrm{ft/s}=3.048\:\mathrm{m/s}

    We can use the following kinematics equation to solve this question:

    v_f=v_i+at

    What we know:

    • The initial velocity, v_i, is 3.048\:\mathrm{m/s}
    • (physics concept) The final velocity must be equal in magnitude but opposite in direction to the initial velocity (v_f=-3.048\:\mathrm{m/s})
    • Acceleration, a, is acceleration due to gravity at about 9.8\:\mathrm{m/s}

    Solving for t:

    -3.048=3.048+(-9.8t),\\-6.096=-9.8t,\\t=\frac{-6.096}{-9.8}\approx \boxed{0.62\:\mathrm{s}}

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