Question

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.

Answer 1

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.

Answer 2

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

$\large {\boxed {\bold {\overrightarrow{A}}}$

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

$\large {\boxed {\bold {|a|=\sqrt{a_1^2+a_2^2} }}$

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