Q30 of 43 Page 85

A body revolves with a constant speed v in a circular path of radius r. The magnitude of its average acceleration during motion between 2 points in diametrically opposite direction is?

Let time taken to complete one revolution = T

Distance covered in one revolution = 2πR


Where R = radius of circular path


Given: V = speed of body = constant





At diametrically opposite points velocity has opposite direction





Distance covered from A to B along circular path = d




Time taken to move from A to B along circular path = t






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28

A train moving at a constant velocity of 54 kmhr–1 moves east wards for 30min then due north with the same speed for 40 min. What is the average velocity of the train during this run?

 29

A body moves 6 m north, 8 m east and 10m vertically upwards. What is its resultant displacement from the initial position?

 31

A reckless drunk is playing with a gun in an airplane that is going directly east at 500 kmhr–1. The drunk shoots the gun straight up at the ceiling of the plane. The bullet leaves the gun at a speed of 1000 kmhr–1. Relative to an observer on earth what angle does the bullet make with the vertical?

 32

From the top of a tower 19.6m high a ball is thrown horizontally. If the line joining the point of projection to the point where it hits ground makes an angle of 45° with the horizontal then initial velocity of ball is:

a) 9.8 ms–1


b) 4.9 ms–1


c) 14.7 ms–1


d) 2.8 ms–1