Question

12)

Suppose that an Iowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a​ k-value in the equation $v=v_0e^{(-k/m)t}$ of about 60,000 kg/s, where v is the​ ship's velocity, $v_0$   is the initial​ velocity, m is the​ mass, k is a constant of​ proportionality, and t is time. Assume that the ship loses power when it is moving at a speed of 9 m/s

a.

About how far will the ship coast before it is dead in the​ water?

Express the distance the ship will coast before reaching a complete stop in terms of​ v, $v_0$ , k, m and t

distance=?

the ship will coast ? before it is dead in the water.

b.

How long will it take the​ ship's speed to drop to 2 m/sec?

Express the time it will take the​ ship's speed to drop to 2m/s in terms of v, $v_0$ , k and m

t=?

Answer 1

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Given equation (klimt V = Voe m: 52,000 X10 kg amis K: 60,000 kg/s distance S to kimit si vole dt o kant e S vom 9 x 52,000 x X 10 60,000 7800 m be V= 2 m/s -kimt Vivo e climt e al3 k ht Ini (%ova) he influe) ta 52,000 X10 60,000 1303.534 s