The slope of an acceleration graph represents a quantity called the jerk. The jerk is the rate of change of the acceleration.

The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).

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If the speed of an object changes, it will be accelerating or decelerating . This can be shown as a curved line on a distance-time graph. If an object is accelerating or decelerating, its speed can be calculated at any particular time by: drawing a tangent to the curve at that time.

Yes particles with zero acceleration can speed up by the chande of direction in particles.

Answer: (a) True. When a body begins to fall freely under gravity, its speed is zero but it has non-zero acceleration of . Speed is the magnitude of velocity and the magnitude of non-zero velocity cannot be zero.

A body may have zero velocity but non-zero acceleration. For example, when a body is thrown vertically upwards at the maximum height the body momentarily comes to rest.

While this might result in a frenzy of activity, it would result in a zero velocity. Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity.