A hot air balloon of constant ascent velocity can be used to investigate wind velocities at various altitudes. Employing this idea, one day a hot air balloon was released at a distance l = 100 m from a point, where a telescope was installed to track the balloon. Since wind velocity was almost zero up to a height of approximately 30 m that day, the balloon first rose upwards and then due to horizontal drift caused by the wind it followed a plane curvilinear path. During continuous tracking of the balloon, the telescope has been rotated in a vertical plane without change in azimuth. A graph depicting how the angle of elevation varies with time thus obtained is shown in the figure.

Question

A hot air balloon of constant ascent velocity can be used to investigate wind velocities at various altitudes. Employing this idea, one day a hot air balloon was released at a distance l = 100 m from a point, where a telescope was installed to track the balloon. Since wind velocity was almost zero up to a height of approximately 30 m that day, the balloon first rose upwards and then due to horizontal drift caused by the wind it followed a plane curvilinear path. During continuous tracking of the balloon, the telescope has been rotated in a vertical plane without change in azimuth. A graph depicting how the angle of elevation varies with time thus obtained is shown in the figure.

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