Motion In A Straight Line Ques 31

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

[2020]

(a) $340 $ $m$

(b) $320$ $ m$

(c) $300$ $ m$

(d) $360$ $ m$

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Answer:

Correct Answer: 31.(c)

Solution:

  1. (c)

Using $v^{2}=u^{2}+2 g h$

Height, $h=\frac{v^{2}-u^{2}}{2 g}=\frac{(80)^{2}-(20)^{2}}{2 \times 10}$

$ =\frac{6400-400}{20}=300 $ $m $