A water tap leaks such that water drops fall at regular intervals. Tap is fixed $5 m$ above the ground. First drop reaches the ground and at that very instant third drop leaves the tap. At this instant the second drop is at a height of

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Answer 1

Velocity of drop 5m below the tap can be obtained by energy conservation.
Assume that potential energy is zero 5m below the tap.
Now, $v = 2 g h = 10 m / s$
Now, time taken to achieve this velocity $= \frac{1 0}{1 0} = 1 s$
it is given that drops leave the tap at a regular time interval. Thus, second drop will leave at 0.5s as the third drop is leaving at 1s.
Now, total time of motion of second drop is 0.5s
Thus, distance moved by second drop in 0.5s is
$s = \frac{1}{2} \times 10 \times (0.5)^{2} = 1.25$
Thus height from ground level is $5 - 1.25 = 3.75 m$

Answer 2

Velocity of drop 5m below the tap can be obtained by energy conservation.
Assume that potential energy is zero 5m below the tap.
Now,

v = 2 g h = 10 m / s

Now, time taken to achieve this velocity

= \frac{1 0}{1 0} = 1 s

it is given that drops leave the tap at a regular time interval. Thus, second drop will leave at 0.5s as the third drop is leaving at 1s.
Now, total time of motion of second drop is 0.5s
Thus, distance moved by second drop in 0.5s is

s = \frac{1}{2} \times 10 \times (0.5)^{2} = 1.25

Thus height from ground level is

5 - 1.25 = 3.75 m

A water tap leaks such that water drops fall at regular intervals. Tap is fixed $5 m$ above the ground. First drop reaches the ground and at that very instant third drop leaves the tap. At this instant the second drop is at a height of

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A water tap leaks such that water drops fall at regular intervals. Tap is fixed 5 m above the ground. First drop reaches the ground and at that very instant third drop leaves the tap. At this instant the second drop is at a height of

3 m

4.5 m

3.75 m

2.5 m

Water drops fall at regular intervals from a tap 5 m above ground. The 3 rd drop is leaving tap when first drop reaches ground. The distance of 2 nd drop at the instant is

A balloon starts rising upwards with constant acceleration "a" and after time to second, a packet is dropped from it which reaches ground after t seconds of dropping. Determine value of t.

Water drugs full from a tap on the floor 5 m below at regular intervals of time, The first drop beings to fall. The height at which the third drop will be from ground (at the instant when the first drop strikes the ground) will be (g=10ms−2)

A stone is dropped into the water from a bridge 44.1m above the water. another stone is thrown vertically downward 1second later. both strike the water simultaneously . then initial speed of the second stone is

water drop are falling from calling at regular interval of time in such away that sixth drop if going to be deleched when 1st drop it just hitting the ground. If time interval between two consecitive drope is 0.5 second. Then the height of celling it.

Revise with Concepts

Velocity - Time Relation in Uniform Accelerated Motion

Position - Time Relation in Uniform Accelerated Motion

Position - Velocity Relation in Uniform Accelerated Motion

Derivation of Equations of Motion in One Dimension Using Calculus

Displacement in Nth Second

A water tap leaks such that water drops fall at regular intervals. Tap is fixed $5 m$ above the ground. First drop reaches the ground and at that very instant third drop leaves the tap. At this instant the second drop is at a height of

$3 m$

$4.5 m$

$3.75 m$

$2.5 m$

Water drugs full from a tap on the floor 5 m below at regular intervals of time, The first drop beings to fall. The height at which the third drop will be from ground (at the instant when the first drop strikes the ground) will be $(g = 10 m s^{- 2})$

A stone is dropped into the water from a bridge $44.1 m$ above the water. another stone is thrown vertically downward $1$ second later. both strike the water simultaneously . then initial speed of the second stone is

water drop are falling from calling at regular interval of time in such away that sixth drop if going to be deleched when $1^{s t}$ drop it just hitting the ground. If time interval between two consecitive drope is $0.5$ second. Then the height of celling it.