Question

A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8).

1. When is the particle moving toward the right?
Answer (in interval notation):

2. When is the particle moving toward the left?
Answer (in interval notation):


3. When does the particle have positive acceleration?
Answer (in interval notation):


4. When does the particle have negative acceleration?
Answer (in interval notation):

Answer 1

when slope is +, velocity is to right

when slope is -, velocity is to left

when curvature is + acceleration is + (holds water)

when curvature is -, acceleration is - (sheds water)