You walk 30m to the north, then turn 90° to your left and walk another 80m. how far are you from where you originally started?

33 m

72 m

85 m

37 m

85 m

Explanation:

Refer to the diagram below.

you walked from A to B (due North) 30 km. Then turned left and moved from B to C (due west) 80 km.

To find out how far are you from the starting point, we need to calculate distance AC.

Consider the right-angles triangle ABC. Then,

AC²= AB²+BC²

⇒AC = √(30 km)²+ (80 km)²

⇒AC = 85 km (approx)

Thus, you are originally 85 km away from your home.

You need to be more specific.  i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time,  then constant velocity is a straight line . . i.e. a line that has  constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant  velocity is a piece of line that lies on the x-axis . . it's value is zero.