2. 1D Motion / Kinematics

Which pair of coordinates is commonly used to describe the location of an object in the local sky?

Which of the following position-time graphs represents an object moving in the positive direction?

In a position-time graph, what does the slope of the line represent?

Given a position-time graph for an object moving along a straight line, which of the following statements correctly describes how to determine the object's positions $x_1$, $x_2$, $x_3$, and $x_4$ at times $t_1$ = $2.0s$, $t_2$ = $4.0s$, $t_3$ = $13s$, and $t_4$ = $17s$?

In a position-time graph representing the motion of an object, which quantity is plotted as the independent variable on the horizontal axis?

On a $x-t$ graph, what does the slope of the graph represent for an object in motion?

Which of the following graphs best represents the position $x$ of an object as a function of time $t$?

The position-time graph for a moving box is shown below.

(a) What is the box's average velocity from 0 to 5s?
(b)What is the box's average velocity from 0 to 8s?
(c) What is the box's velocity in the interval where it's moving fastest?

The position-time graph for a ball on a track is shown below.

(a) What is the ball's velocity at 4s?

(b) At what time(s) is the ball approximately travelling at -10m/s?

(c) From t = 3 to 7s, what is the sign of the acceleration?

A cat walks in a straight line, which we shall call the $x$-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E$2.30$). Assuming that the cat started at the origin, sketch clear graphs of the cat's acceleration and position as functions of time.

A cat walks in a straight line, which we shall call the $x$-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E$2.30$). Find the cat's velocity at $t=4.0$ s and at $t=7.0$ s.

A physics professor leaves her house and walks along the sidewalk toward campus. After $5$ min, it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E$2.10$. At which of the labeled points is her velocity decreasing in magnitude?

A physics professor leaves her house and walks along the sidewalk toward campus. After $5$ min, it starts to rain, and she returns home. Her distance from her house as a function of time is shown in Fig. E$2.10$. At which of the labeled points is her velocity constant and negative?