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A ball is thrown vertically downward with a velocity of 20 m/s20 \text{ m/s} from the top of a tower. It hits the ground after some time with a velocity of 80 m/s80 \text{ m/s}. The height of the tower is : (g=10 m/s2g = 10 \text{ m/s}^2)

1

360 \text{ m}

2

340 \text{ m}

3

320 \text{ m}

4

300 \text{ m}

Step-by-Step Solution

v2=u2+2ghv^2 = u^2 + 2gh. v=80 m/sv = 80 \text{ m/s}, u=20 m/su = 20 \text{ m/s}. h=v2u22g=640040020=300 mh = \frac{v^2 - u^2}{2g} = \frac{6400 - 400}{20} = 300 \text{ m}.

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