Two children are riding on a merry-go-round that is rotating with a constant angular speed. abbie is one meter from the center of the merry-go-round, whereas zak is two meters from the center. abbie’s acceleration is zak’s acceleration.

Explanation

1. Data:

a) ω = constant

b) Abbie: r₁ = 1 m

c) Zak: r₂ = 2 m

d) Ac₁ = ? Ac₂

2. Formulae

3. Solution:

a) Abbie:

b) Zack:

c) Divide Ac₁ / Ac₂

⇒      Ac₁ = (1/2) Ac₂ = Ac₂ / 2 = 0.5 Ac₂

b

step-by-step explanation: a third of 24 is 8, 8 times 3 is 24 so 8 - 2 would be 6