6) A plane taking off leaves the runway at 329 to the horizontal, travelling at 180kmh 1. How long will it take to climb to an altitude

Question

6) A plane taking off leaves the runway at 329 to the horizontal, travelling at
180kmh 1. How long will it take to climb to an altitude of 1000m?​

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King 3 years 2021-08-21T20:53:23+00:00 1 Answers 10 views 0

Answers ( )

    0
    2021-08-21T20:54:55+00:00

    Answer:

    2.7secs

    Explanation:

    The question is not properly written. Here is the correct question

    A plane taking off leaves the runway at 32° to the horizontal, travelling at

    180km/h. How long will it take to climb to an altitude of 1000m?​

    This motion of the plane is a projectile motion. From the question, we are to calculate the time taken by the plane to reach the maximum height.

    Using the formula tmax = Usin\theta/g

    \theta is the angle of projection = 32°

    U is the velocity of the plane (in m/s) = 180* 1000/3600 = 50m/s

    g is the acceleration due to gravity = 9.8m/s²

    tmax = 50sin32°/9.8

    tmax = 26.496/9.8

    tmax = 2.7sec

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