Thomas the giant gorilla stood on a bridge 624 feet above the water below. He picked up a car threw it off the bridge with an initial veloci

Question

Thomas the giant gorilla stood on a bridge 624 feet above the water below. He picked up a car threw it off the bridge with an initial velocity of 50 feet per second. How long will it take the car to splash into the water below?

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Vodka 4 years 2021-07-17T06:30:57+00:00 2 Answers 329 views 0

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  1. Euphemia
    0
    2021-07-17T06:32:11+00:00
    Reply

    Answer:

    The car will take approximately 4.865 seconds to splash into the water.

    Explanation:

    Let suppose that car moves initially downwards. We must see the kinematics of the car after being thrown off the bridge, it is quite certain that car experiment a free fall, in which it is accelerated uniformly by gravity. The time spent by the car to splash into the water is obtained from this equation of motion:

    y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}

    Where:

    y – Current height, measured in feet.

    y_{o} – Initial height, measured in feet.

    v_{o} – Initial velocity, measured in feet per second.

    t – Time, measured in seconds.

    g – Gravitational acceleration, measured in feet per square second.

    If we know that y = 0\,ft, y_{o} = 624\,ft, v_{o} = -50\,\frac{ft}{s} and g = -32.174\,\frac{ft}{s^{2}}, this quadratic function is obtained:

    -16.087\cdot t^{2}-50\cdot t +624 = 0

    Now we get the roots of the polynomial by Quadratic Formula:

    t_{1} \approx 4.865\,s, t_{2} \approx -7.973\,s

    Only the first root is physically reasonable. In a nutshell, the car will take approximately 4.865 seconds to splash into the water.

  2. diemkieu
    3
    2021-07-17T06:32:16+00:00
    Reply

    Answer:

    8

    Explanation:

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