Two balls are dropped from the same height at 1 second interval of time. The separation between the two balls after 2 seconds of the drop of the 1st ball is 14.7 m
For the motion of first ball ,
u = 0
a = g
t₁ = 2 s
∴ The distance travelled by the first ball in 2 s
S₁ = [tex]\frac{1}{2}[/tex] g t₁²
∴ S₁ = [tex]\frac{1}{2}[/tex] × 9.8 × (2)²
∴ S₁ = 4.9 × 4
∴ S₁ = 19.6 m
For the motion of second ball ,
u = 0
a = g
t₂ = 2-1 = 1 s
∴ The distance travelled by the second ball in 1 s
S₂ = [tex]\frac{1}{2}[/tex] g t₂²
∴ S₂ = [tex]\frac{1}{2}[/tex] × 9.8 × (1)²
∴ S₂ = 4.9 × 1
∴ S₂ = 4.9 m
Separation between the two balls = S₁ - S₂
∴ Separation = 19.6 - 4.9
∴ Separation = 14.7 m
The distance separating the balls as time goes on is 14.7 m
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