The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m s’ can go with

Question

The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that
a ball thrown with a speed of 40 m s’ can go without hitting the ceiling of the hall ?

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Lydia 1 month 2021-08-20T11:18:51+00:00 1 Answer 0 views 0

Answers ( )

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    2021-08-20T11:20:15+00:00

    Answer -117.62 metres.

    ANSWER

    Hmax =gμ2sin2θ=25m 

    =9.8(40)2×sin2θ =25m

    sin2θ =0.153125

    θ=230

    Now, Tg2μsinθ =9.82×40×0.4 =3.19sec

    Now, x = μcosθ×T

    =40x cos(230) x 3.19

    x= 117.62 m

    Therefore , maximum horizontal distance is 117.62 metres.

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