A man walks 1.80 km north and then 2.75 km east, all in 3.00 hours.(a)What is the magnitude (in km) and direction (in degrees north of east) of his displacement during the given time?magnitude km direction ° north of east(b)What is the magnitude (in km/h) and direction (in degrees north of east) of his average velocity during the given time?magnitude km/h direction ° north of east(c)What was his average speed (in km/h) during the same time interval?km/h

1. Displacement = 3.29 km

b. His direction is north of east

2. Average velocity is 1.10 km/h

b. His direction is north of east

3. Average speed = 1.52 km/h

Explanation:

1. Displacement =

                       =

                       =

                       = 3.2867

Displacement = 3.29 km

b. tan θ =

        θ =

           = 0.6546

           = 33.20878

 θ =

His direction is north of east

2. Average velocity =

                                =

                                = 1.09667

Average velocity is 1.10 km/h

b. His direction is north of east.

3. average speed =

total distance covered = 1.80 km + 2.75 km

                                      = 4.55 km

Average speed =

                          = 1.5167

Average speed = 1.52 km/h

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.