#42 An indestructible bullet, 2cm long, is fired straight through a board which

Question

#42 An indestructible bullet, 2cm long, is fired straight through a board which is 10 cm thick. The bullet strikes the board with a speed of 420m/s and emerges with a speed of 280m/s. What is the average acceleration of the bullet through the board? What is the total time the bullet is in contact with the board? How many thicknesses of board ( calculated to the nearest tenth cm ) would it take to completely stop the bullet?

Explanation / Answer

distance travelled by bullet in board = 0.12 m u = 420 m/sec, v= 280 m/sec v^2 = u^2- 2a*s =>a = 408333.33 m/sec^2 v = u-at =>t = 3.42*10^-4 sec To stop the bullet u^2= 2*a*s =>s= 21.6 cm equal to 2 times the board thickness approx

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