At \( t=0 \), an arrow is fired vertically upwards with a speed of \( 100 \mathrm{~m} \mathrm{~s...

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At \( t=0 \), an arrow is fired vertically upwards with a speed of \( 100 \mathrm{~m} \mathrm{~s}^{-1} \). A second arrow is fired vertically upwards with the same speed at \( t=5 \mathrm{~s} \). Then
(1) The two arrows will be at the same height above the ground at \( t=12.5 \mathrm{~s} \).
(2) The two arrows will reach back their starting points at \( t=20 \mathrm{~s} \) and at \( t=25 \mathrm{~s} \).
(3) The ratio of the speeds of the first and second arrows at \( t=20 \mathrm{~s} \) will be \( 2: 1 \).
(4) The maximum height attained by either arrow will be \( 1000 \mathrm{~m} \)
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