Math 133a term test iv page 4 of 5 name: 4. application: discontinuous forced ivps consider an undamped pendulum weighting 1 kg and with a restoring force constant of 4 n/m. suppose we extend the pendulum 1 m to the right and give it an initial kick of 2 m/s to the right. suppose furthermore that there is a right-ward impulse applied to the pendulum at t 5 s. this gives rise to the follow model: [5) use the laplace transform method to determine the solution z(t) of (1). [note: l 12-6(1--l {? (t-5)) .]