You are in Paris, 60 m up in the Eiffel Tower. If you throw a euro downward at a velocity of 2.0 m/s, how long would it take the euro to hit

Question

You are in Paris, 60 m up in the Eiffel Tower. If you throw a euro downward at a velocity of 2.0 m/s, how long would it take the euro to hit the ground? Neglect air resistance.

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Ngọc Diệp 3 months 2021-07-19T16:37:55+00:00 1 Answers 10 views 0

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    2021-07-19T16:39:11+00:00

    Answer:

    t = 3.29 seconds

    Explanation:

    It is given that,

    Height of the Eiffel tower is 60 m

    Initial speed of a euro, u = 2 m/s

    It will move under the action of gravity in the downward direction. Firstly, we can find the final velocity as follows :

    v^2-u^2=2ad\\\\v=\sqrt{u^2+2ad} \\\\v=\sqrt{(2)^2+2\times 9.81\times 60} \\\\v=34.36\ m/s

    Let t is the time taken by the euro to hit the ground. It can be calculated as :

    v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{34.36-2}{9.81}\\\\t=3.29\ s

    Hence, it will take 3.29 seconds to hit the ground.

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