# Water drops fall at regular intervals from a tap that is 5m above the ground. The third drop is leaving the tap the instant the first drop touches the ground. How far above the ground is the second drop at that instant?

By Ritesh|Updated : November 14th, 2022

(a) 2.50 m

(b) 3.75 m

(c) 4.00 m

(d) 1.25 m

The second drop at that instant is 3.75 m far above the ground. We know that time taken by the first drop to reach the ground t = √2h/g

Substituting the values we get:

t = √(2 x 5)/10 = 1 sec

Since water drops fall from a tap at regular intervals, there is a ½ second delay between any two drops.

The distance of the second drop from the tap at this time:

= ½ g (½)2 = 5/4 = 1.25 m

its distance from the ground =5-1.25=3.75 m

### Distance

• Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
• The distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over").
• The term is also frequently used metaphorically to denote a measurement of the degree of separation between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text).
• This is because spatial cognition is a rich source of conceptual metaphors in human thought.
• The concept of a metric space is used in mathematics to formalise the majority of these notions of distance, both literal and figurative.

Summary:

## Water drops fall at regular intervals from a tap that is 5m above the ground. The third drop is leaving the tap the instant the first drop touches the ground. How far above the ground is the second drop at that instant?

Water drops fall at regular intervals from a tap that is 5m above the ground. The third drop is leaving the tap the instant the first drop touches the ground. The second drop at that instant is 3.75 m far above the ground.