Question

Study the motion map shown. what do the circled vectors represent?

a. velocity
b. speed
c. positive acceleration
d. negative acceleration

Answer 1

The answer is:

Acceleration

Answer 2

It's option d - Negative acceleration

Step-by-step explanation:

• Let's start by demonstrate why it's not option b - Speed : Speed is a scalar quantity so it can not be represented by a vector

• Let's check that the green vectors represent velocity (velocity is a vector quantity, velocity is a direction aware, while speed is just a scalar)

• Now let's show that the circled vectors are acceleration vectors:

Mathematically position X , velocity V and acceleration A are:

`(dX)/(dt) = V` and
`(dV)/(dt) = A`

Where X, V, A are vectors and
`(d(a))/(dt) = b` indicates the derivate a of a time is equal to b.

So, this show that acceleration is a rate respect of time of velocity ⇒ When acceleration is positive, velocity increments, when acceleration is negative, velocity decrements.

The above explanation correspond to the motion map shown, getting demonstrated that the answer is D - Negative acceleration