Question

Which of the following situations is possible? (a) An object can have acceleration, but constant velocity. (b) The velocity of an object may be zero but acceleration is not zero. (c) Distance and the magnitude of displacement are equal in circular motion. (d) Average speed and the magnitude of average velocity are always equal in circular motion​

Answer 1

Answer:

Explanation:

Ans:a)An object's acceleration is the rate its velocity (speed and direction) changes. Therefore, an object can accelerate even if its speed is constant - if its direction changes. If an object's velocity is constant, however, its acceleration will be zero. Keeping this in view, when acceleration is constant what happens to velocity?

Ans:b)For the most part velocity is not zero if an object is accelerating. Since acceleration is the change in velocity over time, there has to be a change in velocity for something to accelerate. In other words, if something is accelerating, it has to have a variable velocity.

Ans:c)Distance and the magnitude of displacement are equal in circular motion: This situation is not possible. At any point on the circular path distance travelled is never equal to the magnitude of displacement. Average speed and the magnitude of average velocity are always equal in circular motion:

Ans:d)

In everyday use and in kinematics, the speed (commonly referred to as v) of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity. The average speed of an object in an …

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Answer 2

Possible situation is (b) The velocity of an object may be zero but acceleration is not zero.

Explanation:

(a) An object can have acceleration, but constant velocity.

• Acceleration and velocity both are vector quantities.
• Acceleration is defined as rate of change in velocity with time.
• Any change in either direction of velocity or magnitude of velocity will give rise to acceleration.
• For acceleration to be non-zero, velocity must change.
• So, this situation is not possible.

(b) The velocity of an object may be zero but acceleration is not zero.

• Acceleration is defined as rate of change in velocity with time.
• For acceleration to be non-zero, the change in velocity needs to be zero.
• But here, the velocity is zero which can have still have acceleration.
• This situation is possible.
• Example: when a body is thrown vertically upwards, the velocity is zero at some point but the acceleration due to gravity stills acts on it.

(c) Distance and the magnitude of displacement are equal in circular motion.

• In circular motion, the total path covered is distance of the body.
• Whereas the difference between final and initial positions of the body is the displacement.
• In a circular motion, the displacement is always less than distance covered b the body.
• So, this situation is not possible.

(d) Average speed and the magnitude of average velocity are always equal in circular motion​.

• Since distance and displacement for a body is different in circular motion, so the average speed and average velocity will also be different.
• This situation is not possible.