2. 1D Motion / Kinematics

Given a position-time graph where the position increases linearly with time, which of the following best describes the motion of the object?

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?