Question

Assertion
A negative acceleration of a body is associated with a slowing down of a body.
Reason
Acceleration is a vector quantity.
A) Both assertion and reason are correct and the reason is the correct clarification for the assertion.
B) Both assertion and reason are correct and the reason isn't the right clarification for the assertion.
C) Assertion is correct however the reason is wrong.
D) Both assertion and reason are wrong.

Answer 1

Hint:
In this question, first of all, we will determine the result from the definition of acceleration and retardation. After that, we will select the correct answer from the given option.



Complete step by step solution:
Basically, acceleration is defined as the rate of change of velocity of a body.
In other words, If the velocity of the body is not constant through a particular path or the velocity of a body is changing during the motion of the body on a path, then this phenomenon is known as the acceleration of the body.

A body is said to be in a positive acceleration when the acceleration is acting along the motion of the body. It means that the velocity of the body increases with respect to time.

A body is said to be in negative acceleration when the acceleration is acting in the opposite direction of the motion of the body. It means that the velocity decreases with respect to time. Negative acceleration is additionally referred to as retardation.

Therefore, from the above explanation, we can conclude the assertion is correct.

A vector quantity is such a quantity that has direction and magnitude also.
From the above explanation, acceleration has direction and magnitude. The sign convention is also used to represent the direction of the motion of the body.
Therefore, the reason is also correct but the reason is not the correct explanation for the assertion.
Therefore, the correct option is C.


Note:
In this question, the first point is to keep in mind that acceleration is the rate of change of velocity of the body. And the velocity is the vector quantity. Therefore, the acceleration is also the vector quantity.