ritik.dutta3 said:No, @adjacent, the question isn't incomplete. We have to fill in the blank. "the acceleration varies with x as ________ ". Sorry for not mentioning it clearly!
Kinematics is the branch of physics that deals with the motion of objects without considering the forces that cause the motion. It involves studying the position, velocity, and acceleration of objects over time.
The types of motion in kinematics are linear motion, circular motion, and rotational motion. Linear motion is when an object moves in a straight line, circular motion is when an object moves in a circular path, and rotational motion is when an object spins on its axis.
Speed is the rate at which an object moves, while velocity is the rate at which an object moves in a specific direction. Speed is a scalar quantity, meaning it only has magnitude, while velocity is a vector quantity, meaning it has both magnitude and direction.
Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.
Average velocity is the total displacement of an object divided by the total time taken, while instantaneous velocity is the velocity of an object at a specific moment in time. Average velocity gives an overall picture of an object's motion, while instantaneous velocity gives information about its motion at a specific point in time.