Task 1

As discussed in the previous lesson, below is the equation for a damped pendulum:

$$x(t) =Asin(2\pi ft+p)e^{dt}$$

Problem Statement

Write a Python function named pendulum() to implement the equation given above. Use the following default values for the parameters:

• $A=1$
• $f=100$
• $p=0$
• $d=0.05$

Use the following arguments to plot the output of the function against $t$:

• $A=1$
• $f=2$
• $p=0$
• $d=0.5$

Set the range of $t$ to be the following:

$0\leq t<2\pi$

Use all the suitable packages that you have learned throughout the course.