4) A robot is equipped with a GPS, which indicates the x coordinate and the y coordinate of the
robot position and a compass, which indicates the robot heading angle (the adjusted
quantities are as defined in lecture).
The robot starts out an initial position given by coordinates xi = 34 meters and yi = 51 meters
and an initial heading angle of 36 degrees. The robot should move to a final (goal) position given by
the coordinates xf = 73 meters and yr = 168 meters. Find the following:
a) Ax = change in x, Ay = change in y
b) required Goal robot heading angle OG
c) angle 40 through which the robot should spin (rotate on the spot) at the start of motion
d) d=straight line distance between the robot initial position and final (goal) location

chemical energy --> gravitational potential energy --> kinetic energy --> elastic potential energy --> gravitational potential energy

explanation:

when emma starts the hike, the chemical energy stored in her body is used to climb up the mountain, and so she gains gravitational potential energy (because at the end, she will be at a higher height h above the ground). then she goes bungee jumping: as she falls, this gravitational potential energy is converted into kinetic energy (because her speed increases as she falls down), until the point when the rope stretches, and she stops moving. at that moment, all the kinetic energy is converted into elastic potential energy due to the stretching of the rope. then, this energy is released because the rope returns to its natural length, and emma gains a small increase in altitude , so she gains some gravitational potential energy.