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A and B arguing about uniform acceleration. A states that acceleration means 'the longer you go." B states that acceleration means "the further you go". Who is right?
(A) A
(B) B
(C) Both
(D) None

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Last updated date: 05th Mar 2024
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IVSAT 2024
Answer
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Hint We should know that velocity is defined as the rate change of displacement per unit time. Speed in a specific direction is also known as velocity. Velocity is equal to displacement divided by time. Speed, being a scalar quantity, is the rate at which an object covers distance. The average speed is the distance which is a scalar quantity per time ratio. On the other hand, velocity is a vector quantity; it is direction-aware. An object which moves in the negative direction has a negative velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion in this case. Based on this we have to solve this question.

Complete step by step answer
At first let us define acceleration as the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
On the other hand, it should be known to us that velocity is the rate of change of position with respect to time, whereas acceleration is the rate of change of velocity. Both are vector quantities and so also have a specified direction, but the units of velocity are meters per second while the units of acceleration are meters per second squared.
If an object's speed (velocity) is increasing at a constant rate then we say it has uniform acceleration they both are correct.
Since the longer and further means the same hence they both are correct.

Hence, the correct option is option C.

Note: We should know that if an object's speed or velocity is increasing at a constant rate then we say it has uniform acceleration. The rate of acceleration is constant. If a car speeds up then slows down then speeds up it doesn't have uniform acceleration. The instantaneous acceleration, or simply acceleration, is defined as the limit of the average acceleration when the interval of time considered approaches 0. It is also defined in a similar manner as the derivative of velocity with respect to time. If an object begins acceleration from rest or a standstill, its initial time is 0. If we get a negative value for acceleration, it means the object is slowing down. The acceleration of an object is its change in velocity over an increment of time. This can mean a change in the object's speed or direction. Average acceleration is the change of velocity over a period of time. Constant or uniform acceleration is when the velocity changes the same amount in every equal time period.