**Answer:**

**Step-by-step explanation:**

We are given that

Initial velocity

M=40 kg

K=64 N/m

C=40 Kg/s

We have to find the y(t)

Displacement equation for damped motion

Substitute the values

Auxillary equation

When roots are distinct and real

Then,

Substitute the values

Substitute t=0

Then,

Substitute y(0)=0 because when motion does not start then displacement y(t)=0

Differentiate w.r.t t

Substitute the values v(0)=50 and t=0

Substitute the value

Substitute the values

300 * 6 = 1800

Chelsea's family traveled a total of 1800 miles in 6 days.

Remember

a^3-b^3=(a-b)(a^2+ab+b^2)

(11x)³-(2y)³=(11x-2y)(121x²+22xy-4y²)