the difference between speed and velocity is that A) speed is a vector and requires a direction. B) speed is a vector and requires a magnitude. C) velocity is a vector and requires a direction. Eliminate D) velocity is a vector and requires a magnitude.

Respuesta :

The correct answer is C. Velocity is a vector and requires a direction.

Explanation:

In physics both speed and velocity are used to study the motion of a body; however, they are slightly different. In the case of speed, this describes the rate of change in position based on distance and time, because of this, speed is based on a magnitude or quantity. On the other hand, velocity is a vector because it does not only includes a change of position but the direction of motion usually based on a specific location reference.

Considering this, it can be concluded the difference between speed and velocity is that "velocity is a vector and requires a direction" because velocity includes both the distance and time (speed) along with the direction while speed focuses only on time and distance.

The difference between speed and velocity is that C) velocity is a vector and requires a direction

Further explanation

Vector is a quantity that has a value and direction

Vector can be symbolized in the form of directed line segments

[tex]\large {\boxed {\bold {\overrightarrow{A}}}[/tex]

while the length of the vector is denoted by | a |

Vectors can be written in the form of sequential pairs which shows their coordinates in the Cartesian plane: a (a₁, a₂)

with length

[tex]\large {\boxed {\bold {|a|=\sqrt{a_1^2+a_2^2}  }}[/tex]

If the direction of the vector is reversed, we get the vector -a which has the same length but in the opposite direction

Operations on vectors include addition and subtraction. Addition of vector a and vector b can be done in a triangular way where the base point of vector b coincides with the endpoint of vector a

The sum of the two is obtained by pulling the line segment from the base point of the vector a to the endpoint of the vector b which results in a new vector c

So a + b = c

If vector a is added by inverse b (-b) then the sum becomes a + (- b) = a-b

If a vector is multiplied by a scalar number (eg denoted by k) then the new vector becomes k | a |.

If k> 0, the new vector is in the direction of vector a, but if k <0 it will be in the opposite direction

A vector has a direction and a magnitude, while a scalar has only a magnitude.

Examples of scalars are: length, mass, time, speed

Examples of vectors are: force, acceleration, velocity

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Keywords: vector, speed, velocity

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