Answer:
It's option d - Negative acceleration
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:
[tex] \frac{dX}{dt} = V [/tex] and [tex] \frac{dV}{dt} = A [/tex]
Where X, V, A are vectors and [tex] \frac{d(a)}{dt} = b [/tex] 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
