2. 1D Motion / Kinematics

Given a $v-t$ graph with points labeled $1$ through $5$, rank the speeds of these points from fastest to slowest.

$Which\; of\; the\; following\mathrm{velocity}-\mathrm{time}graphs\; represents\; an\; object\; with\; constant\mathrm{acceleration}?$

Given a velocity-time graph $v\left(t\right)$ for a world-class track sprinter in a 100-m race, which of the following statements is correct about the sprinter's acceleration during the race?

Given a velocity-time graph where the velocity at time $t=0$ is $5$ m/s, what is the initial velocity of the object in m/s?

Figure 2–42 shows the velocity of a train as a function of time. At what time was its velocity greatest?

On a $v-t$ graph, which segment indicates that the object's velocity is decreasing?

Which pair of sentences describes the same velocity? (A) An object moves at $10m/s$ to the right. (B) An object moves at $-10m/s$ to the left. (C) An object moves at $10m/s$ to the left. (D) An object moves at $-10m/s$ to the right.

On a $v-t$ graph, which feature indicates that a runner is moving at a high speed?

On a $v-t$ graph, what does a flat horizontal line indicate about the motion of an object?

In a $v-t$ graph where time is measured along the $x$-axis, what physical quantity is measured along the y-axis?

On a $d-t$ graph, why does a curved line indicate that the object is accelerating?

For a ball thrown straight upward, what are the velocity and acceleration of the ball at the highest point in its path?

Which of the following velocity-time graphs represents an object with negative acceleration?$a<0$

High-speed motion pictures ($3500$ frames/second) of a jumping, $210–μg$ flea yielded the data used to plot the graph in Fig. E$2.54$. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November $1973$ Scientific American.) This flea was about $2$ mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer this question: Find the flea's acceleration at $0.5$ ms, $1.0$ ms, and $1.5$ ms.

High-speed motion pictures ($3500$ frames/second) of a jumping, $210–μg$ flea yielded the data used to plot the graph in Fig. E$2.54$. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November $1973$ Scientific American.) This flea was about $2$ mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer this question: Find the maximum height the flea reached in the first $2.5$ ms.