A stone is dropped down a deep from rest. The well is 50m.deep. how long will it take to reach the bottom of well? (acc.=9.8m/s?

Question

Accepted Answer

Given,

u=0 m/s

S=50 m

g=9.8 m/(s^2) (for freely falling body,g is +ve)

t=?

For a freely falling body dropped from rest,

S=1/2g*t^2 (S=ut+1/2a*t^2=>S=0+1/2g*t^2=>S=1/2g*t^2)

50=1/2*9.8*t^2

t^2=50*2/9.8

t^2=10.204

=>t=(10.204)^1/2

=>t=3.19 sec

hence,it will take 3.19 sec to reach bottom of the well.

Answer

Given, u = 0 m/s. u = Initial velocity v = ? v = Final velocity D = 50m. D = Distance A = 9.8m/s. A = Acceleration T = ?              T = Time We know, v²-u² = 2as So, v²-0² = 2 × 9.8 × 50 v² = 980 v = 31.304...m/s TIME. S = ut + 1/2 at² 50 = 0t + 1/2 × 9.8 × t² 50 = 0 + 4.9t² 50 = 4.9t² 50/4.9 = t² 10.2 = t² 3.1937 sec = tHOPE IT HELPED 🙂

Answer

A stone is thrown down a well at velocity of 20m/s .if the well is 20m deep..calculate the time taken by the stone to reach the bottom of the well

Answer

3.19

Answer

Problem Statement:

A stone is dropped down a deep well from rest. The well is 50m deep. How long will it take to reach the bottom of the well?

Solution:

To find the time it takes for the stone to reach the bottom of the well, we can use the equation of motion for an object in free fall:

Equation of Motion:
s = ut + 0.5at^2

Where:
- s is the displacement (distance traveled) of the stone
- u is the initial velocity of the stone (which is 0 m/s as it is dropped from rest)
- t is the time taken
- a is the acceleration due to gravity (which is 9.8 m/s^2)

Key Point:
The stone is initially at rest, so the initial velocity (u) is 0 m/s.

Key Point:
The acceleration due to gravity (a) is -9.8 m/s^2, where the negative sign indicates that the acceleration is in the opposite direction to the displacement.

Key Point:
The displacement (s) is equal to the depth of the well, which is 50m.

Substituting values:
50 = 0 * t + 0.5 * (-9.8) * t^2

Simplifying the equation:
50 = -4.9t^2

Rearranging the equation:
t^2 = 50 / -4.9

Taking the square root of both sides:
t = sqrt(50 / -4.9)

Calculating the value of t using a calculator:
t ≈ 3.19 seconds

Answer:
It will take approximately 3.19 seconds for the stone to reach the bottom of the well.

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