A Child Is Riding a Merry-Go-Round That Has an Instantaneous $0.745 \mathrm { rad } / \mathrm { s } ^ { 2 }$

A child is riding a merry-go-round that has an instantaneous angular speed of 1.25 rad/s and an angular acceleration o $0.745 \mathrm { rad } / \mathrm { s } ^ { 2 }$ The child is standing 4.65 m from the center of the
Merry-go-round. What is the magnitude of the linear acceleration of the child?

A) $2.58 \mathrm {~m} / \mathrm { s } ^ { 2 }$
B) $4.10 \mathrm {~m} / \mathrm { s } ^ { 2 }$
C) $8.05 \mathrm {~m} / \mathrm { s } ^ { 2 }$
D) $3.46 \mathrm {~m} / \mathrm { s } ^ { 2 }$
E) $7.27 \mathrm {~m} / \mathrm { s } ^ { 2 }$