Which of the following statements best describes the relationship between velocity and acceleration in different dimensions?
In one-dimensional motion, velocity and acceleration lie along the same line, either in the same or opposite direction.
In one-dimensional motion, velocity and acceleration lie along the same line, either in the same or opposite direction. is correct.
Velocity is the rate of change of position and acceleration is the rate of change of velocity; both are vectors. In one-dimensional (straight-line) motion every vector quantity can point only along that single line.
So acceleration is either along the velocity (the body speeds up) or opposite to it (the body slows down, i.e. retardation). A ball thrown vertically upward is an example: velocity points up while gravity's acceleration points down.
Perpendicular velocity and acceleration are impossible on a single line; in two-dimensional motion acceleration can make any angle with velocity (perpendicular in uniform circular motion, at varying angles in projectile motion); and in three dimensions there is no rule that they must point the same way.
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- Which of the following examples represents motion along a straight line?
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The area under a velocity-time graph between two instants represents:
A body is dropped freely from a height 'X' m. If tit takes Y seconds to reach the ground. The time it takes to reach half of the height of the tower is (Take g = 10m/s2)
