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

magnitude and direction

carla slowed down in the beginning of her trip, stopped, and then sped up