Physics, 29.12.2019 22:31 SunsetPrincess

You are told to walk due east for 50 paces, then 30 degrees north of east for 38 paces, and then due south for 30 paces. what is the magnitude and direction of your total displacement?

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Answer from: EvelynJ21011

$\vec d_t=\ paces$

Explanation:

Displacement

It's a vectorial magnitude to measure the linear space between two points, It's usually computed as the subtraction of the final point minus the initial point. To find the sum of a sequence of displacements, we must sum the vectors.

In this problem, we see the 'pace' as a unit of length. We'll use it without attempting to convert it to any other standard unit. We'll also assume the positive direction to be east and north in both axes x,y respectively.

The first displacement is 50 paces due east. Let's assume the object starts from the origin (0,0)

Since the displacement is due east, the vertical component is zero, so

$\vec d_1=$

The second displacement is 38 paces 30 degrees north to east. We must find the x and y coordinates of this displacements

$\vec d_2=$

The third displacement is 30 paces due south. This time, the x-coordinate is zero and the y-coordinate is negative

$\vec d_3=$

The total displacement is the sum of all three above:

$\vec d_t=\vec d_1+\vec d_2+\vec d_3$

$\vec d_t=++$

$\vec d_t=\ paces$

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Answer from: Quest

a skateboard rolling across the street - apex

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