(a) Object moving in a certain direction with an acceleration in perpendicular direction is possible in case of circular motion.When an object moves on a circular path its direction is along the tangent of the circle but the centripetal acceleration is towards the radius of the circle.We know that a tangent always makes a right angle with the radius; so when an object is in circular motion the acceleration and velocity are in mutually perpendicular direction.

(b) The word acceleration implies a change in the object's velocity.One example of this is vertical particle projection.When an object is thrown upwards the maximum height velocity of the body is zero but constant acceleration due to gravity is still working.

(c) It is not possible an object moving with variable speed and uniform velocity as the uniform velocity means the speed and direction are constant.

Situation C: A body moving with a constant velocity in an accelerated motion

In this situation, a body is described as moving with a constant velocity in an accelerated motion. However, this scenario is not possible because it violates the basic laws of physics that govern motion. Let us understand why this is the case.

Understanding Velocity and Acceleration

Velocity and acceleration are fundamental concepts in physics that describe the motion of an object. Velocity refers to the rate at which an object changes its position with respect to time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

Acceleration, on the other hand, refers to the rate at which an object's velocity changes with respect to time. It is also a vector quantity and is defined as the change in velocity divided by the time taken for that change to occur.

Constant Velocity

When an object is said to have a constant velocity, it means that both its speed and direction remain unchanged over time. This implies that there is no acceleration acting on the object. In other words, the net force acting on the object is zero.

Accelerated Motion

Accelerated motion, on the other hand, refers to the motion of an object where its velocity is changing. This means that there is an acceleration acting on the object. The presence of acceleration indicates that there is an unbalanced force acting on the object, causing it to change its velocity.

Explanation of the Situation

In situation C, the statement suggests that the body is moving with a constant velocity in an accelerated motion. This is contradictory because if the body has a constant velocity, it means there is no acceleration acting on it. A constant velocity implies that the net force on the object is zero, which means there cannot be any acceleration.

Therefore, situation C is not possible as it violates the basic principles of motion. An object cannot have a constant velocity and be in an accelerated motion simultaneously.

Conclusion

Understanding the concepts of velocity and acceleration helps us analyze the given situations. In this case, the statement suggesting a body moving with a constant velocity in an accelerated motion is not possible because it contradicts the fundamental laws of physics. The other situations (A and B) are possible and can occur depending on the circumstances and external forces acting on the body.