2. 1D Motion / Kinematics

Which physical quantities are related by the kinematic equations in one-dimensional motion under constant acceleration?

Given a $\mathrm{position} vs. \mathrm{time}$ graph that is a straight line with a constant positive slope, the motion in the figure is best described as:

Which of the following statements is a prediction based on $kinematics$ equations?

A baseball pitcher throws a baseball with a speed of 43 m/s. Estimate the average acceleration of the ball during the throwing motion. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released (Fig. 2–44).

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In the context of kinematics, which of the following statements is true in the limit of large acceleration (that is, as $a\to \infty$) for an object starting from rest under constant acceleration?

Which characteristic does not describe the $range$ of a $projectile$ in $kinematics$?

A motorcyclist starts from rest and accelerates in a straight line. The table below shows the position of the motorcyclist at different times. Which kinematic equation best describes the relationship between position $x$, initial position $x_0$, acceleration $a$, and time $t$ for this motion?

In kinematics, which equation relates initial velocity, final velocity, acceleration, and displacement, and what is it commonly called?

Which of the following statements correctly describes the relationship between displacement, initial velocity, time, and acceleration in kinematics?

John is rollerblading down a long, straight path with an initial velocity of $2m/s$ and accelerates uniformly at $1m/s^2$. What is his velocity after $6s$?

An object moves along a trajectory given by $x=3t$ for $0\le t\le 4$ seconds. How far does it travel during this time interval?

A car starts from rest and accelerates uniformly at $a$ for a time $t$. Which equation correctly gives the distance $s$ traveled by the car during this time?

A car is traveling at an initial speed of $v{i}_0$ when the driver sees a deer $d$ meters ahead and immediately applies the brakes, coming to a stop with constant acceleration $a$ (where $a<0$). If the car stops before reaching the deer, how much distance is left between the car and the deer when it comes to a stop?

You are driving to the grocery store at 20 m/s. You are 110 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.50 s and that your car brakes with constant acceleration. What magnitude braking acceleration will bring you to a stop exactly at the intersection?