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 2 years 2021-07-29T15:38:45+00:00 1 Answers 6 views 0

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

    Answer:

    [tex]0.62\:\mathrm{s}[/tex]

    Explanation:

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

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

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

    [tex]v_f=v_i+at[/tex]

    What we know:

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

    Solving for [tex]t[/tex]:

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

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