Final answer:
The approximate value of the solution at t = 0.1 is -1.154 m/s.
Step-by-step explanation:
To find the approximate values of the solution of the given initial value problem at t = 0.1, we need to evaluate the equation at t = 0.1.
Given: Uy(t) = -1.1 m/s + (-0.54 m/s²)t.
Substituting t = 0.1 into the equation, we get:
Uy(0.1) = -1.1 m/s + (-0.54 m/s²)(0.1) = -1.1 m/s - 0.054 m/s = -1.154 m/s.
Therefore, the approximate value of the solution at t = 0.1 is -1.154 m/s.