with negligible friction. The car is brought to rest by a combination
of two coiled springs as illustrated in the figure below. Both springs
are described by Hooke's law with k1 = 1600 N/m and k2 = 3400 N/m. After the first spring compresses a distance of 30.0
cm, the second spring acts with the first to increase the force as
additional compression occurs as shown in the graph. The car comes to
rest 54.0 cm after first contacting the two-spring system.
Find the car's initial speed.