two stones are dropped from the top of a tower at an interval of 3 seconds. the relative velocity of the first stone with respect to the second stone at an instant during their fall is
Answers
Given:
Two stones are dropped from the top of a tower at an interval of 3 seconds.
To find:
The relative velocity of the first stone with respect to the second stone at an instant during their fall is
Solution:
From given, we have,
two stones are dropped from the top of a tower at an interval of 3 seconds.
we use the formula,
v = u + at
v = 0 + gt
∴ v = gt
where g is the gravitational constant.
First stone,
V₁ = gt
Second stone,
V₂ = g(t - 3)
The relative velocity of the first stone with respect to the second stone at an instant during their fall is
Relative velocity,
V = V₁ - V₂
= gt - g(t - 3)
= gt - gt + 3g
= 3g
Therefore, the relative velocity is 3g m/s
If considered, the gravitational constant, then we get,
Therefore, the relative velocity is 3 × 10 = 30 m/s
Explanation:
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