Question

if avalanch takes 2 second to fall 20 m how far it fall in half second if the time taken by an avalanch to fall is proporation to the square root of the distance it falls

Answer 1

Ans

S=d/s

S=20/2

S=10

So Avalanche travels in 1 second 10m/s

It travels in 1/2 second 5m/s

So,

D=k(t)square

5= k (2)square

5/4=k

1.25m=k

Answer 2

Avalanche will fall 1.25 m in 1/2 sec if time taken is in proportion to square root of distance covered and it falls 20 m in 2 sec

Step-by-step explanation:

Time taken ∝  √(Distance Covered)

Time taken = K √(Distance Covered)

K = Constant

Time Taken = 2  sec

Distance covered = 20 m

=> 2 = K √20

=> K = 2/√20

Time = 1/2 sec

Distance covered = D

=> 1/2 = K √D

=> 1/2 = (2/√20) √D

=> √D  = √20/4

Squaring both sides

=> D = 20/16

=> D = 1.25 m

Distance covered = 1.25 m   in 1/2 secs

Avalanche will fall 1.25 m in 1/2 sec if time taken is in proportion to square root of distance covered and it falls 20 m in 2 sec

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