Bill steps off a 3.0-m-high diving board and drops to the water below. at the same time, ted jumps upward with a speed of 4.2 m/s from a 1.0-m-high diving board. choosing the origin to be at the water's surface, and upward to be the positive x direction, write x-versus-t equations of motion for both bill and ted.

equation of  motion for Bill is

equation of  motion for Ted is

Explanation:

Taking downward position positive and upward position negative

g = 9.8 m/s^2

equation of  motion for Bill is

equation of  motion for Ted is

For Bill:

For Ted:

Explanation:

For Bill:

Now using equation of motion,we have

 ,

Thus,equation becomes

Taking acceleration upward positive and downward negative.

   for bill

For Ted

Using the same equation

Substitute values

Thus equation becomes

  for Ted

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.