Questions 29 to 31 are based on the following physical

Last updated: 6/9/2023

Questions 29 to 31 are based on the following physical situation 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 1 100 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 29 Ascent velocity of the balloon is closest to a 2 67 m min c 8 m min 30 Wind velocity at the altitude of the balloon where angle of elevation acquires its maximum value is closest to a 4 m min c 8 m min b 6 m min d Information is insufficient to decide a 180 m c 300 m 31 Horizontal drift of the balloon when angle of elevation acquires its maximum value is closest to b 6 m min d 10 m min a 3 s t 9s c 11 s t 17 s b 200 m d Insufficient information Questions 32 to 35 are based on the following physical situation Two particle A and B are moving towards each other on a straight line with equal speeds 5 m s At an instant that is assumed t 0 s distance between the particles is 100 m It is desired to move another particle C always maintaining a distance 40 m from the particle A and 30 m from the particle B 2 When and for how long can the particle C fulfil the given condition b 9 s t 11 s d 3 s t 17 s 3 What is speed of the particle C at the instant t 5 s a 3 5 m s c 5 m s b 4 8 m s d 6 m s What is modulus of acceleration of the particle C at the instant t 5 s a 2 3 m s2 b 0 58 m s c 0 90 m s d 3 30 m s2 01 53 15 3 35 50 t min