Question 2 [11 marks] A soldier in a helicopter hovering at a height of 200 m fires his carbine at a ground target direc

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Question 2 11 Marks A Soldier In A Helicopter Hovering At A Height Of 200 M Fires His Carbine At A Ground Target Direc 1 (63.5 KiB) Viewed 26 times

Question 2 [11 marks] A soldier in a helicopter hovering at a height of 200 m fires his carbine at a ground target directly below him. The bullet (mass m) is discharged at a speed of 400 ms-1. It experiences an atmospheric drag proportional to square of its speed (i.e. v~) with a proportionality constant Bm, where B = 0.001 m-1. (a) Make use of the chain rule amongst others to find the speed of the bullet as a function of position. At what speed does the bullet hit the target? (b) How much faster would it reach the target in the absence of atmospheric drag?