Track This Robot!

Let's say that the robot is facing North. He will head North 3 miles, then West 4 miles and then South 3 miles. Hence, it ends up being West 4 miles of the starting point.

Just a displacement computation stuff :)

Approximate solution... must neglect curvature.

I used the tiles of my floor for this one, hehehehe.

if you compute it, it will move 3 miles and move back 3 miles because it turn 180 degrees

Just calculate the displacement..

The answer is true assuming the space robot is going in a single plane. If the robot is going down the side of a mountain the answer could vary. Min 0 - max 10.

The question is a loophole.

let us consider it's in point a it moves 3 miles forward and turns left and moves 4 miles and again moves 3 miles this has constructed 3 sides of a rectangle then it must be 4 miles to complete that rectangle!

McDonnell goes forward 3 miles, turns 90 degrees left, goes forward 4 miles, turns 90 degrees left, and goes forward 3 miles again. Restating it from the point of view of the robot's original orientation, it went forward 3 miles, left 4 miles, and back 3 miles. The forward 3 miles and back 3 miles cancel out to make a total displacement of 4 miles left.

Think of it as a 4x3 rectangle

The robot's path creates a rectangle. Opposite sides of a rectangle are the same. Therefore, the answer is 4. Since the question asks how far away it is, which implicitly means the "shortest distance"( i.e. a line connecting the location your robot is in after completing the last instruction and its initial location), and not the distance traveled by the robot, the answer is 4 (instead of 10). Although, if the question had a restriction which did not allow the robot to complete a closed path, the answer would be 10.

since it is moving 3 miles forward and then turning 90 degrees and then 4 miles and 90 degrees and then 3 miles we can see that it is forming a rectangle and hence the last side is 4 miles.hence the answer is 4

Acctually it makes rectangle and problem ask for the big magnitude of the rectangle.

The movement of the robot describes a rectangle. The stopped part distances 4 miles left of the starting point.

straight 3 miles then left 4 miles and again returning back towards starting point by 3 miles..! So we travel 4 miles away from the starting point at the first left turn