Question

Q1: POSITION VS TIME GRAPH

The slope of the position vs. time graph is the _________________ of the motion

How is the position graph different for motion to the right (positive) and motion to the left (negative)

How does the starting position change the position-time graph?

When the slope of a position vs. time graph is zero, then the object is __________________________.
When the slope is constant but not zero, the object is _______________________________________.
When the slope is positive, the object is __________________________________________________.
When the slope is negative, the object is _________________________________________________.
When the slope is steep, the object is ____________________________________________________.
When the slope is not so steep, the object is _______________________________________________.

Answer 1

1. (a) The slope of the position vs. time graph is the velocity at that instant.

As, dx/dt = v.

(d) When the slope of a position vs. time graph is zero, then the position of the object is not changing. That means the object was held at a single position.

As, at dx/dt = 0 => dx = 0.

(e) When the slope is constant but not zero, the object is changing its position, but it is moving with a constant velocity.

As, dx/dt = constant => v = constant.

(f) When the slope is positive, the object is accelerating. That means, the velocity of the object is increasing with time.

(g) When the slope is negative, the object is decelerating. That means, the velocity of the object is decreasing with time.