A popular baby toy is a baby seat that is attached to a long spring that is connected to the frame of a door, allowing the baby to jump around and strengthen their legs. A 10 kg baby in the seat jumps up and then keeps their feet up off the floor by holding them out straight and horizontal. The baby is seen to bounce up and down 10 times every 2 seconds, moving 10 cm from the highest point in their oscillation to the lowest point. Write an expression for the vertical component of the baby’s position as a function of time, z(t). You can assume that z = 0 at the midpoint of the baby’s oscillatory motion.