2. 1D Motion / Kinematics

Which of the following best describes the vector field $f(x,y,z)$ = $i$ + $2j$ + $3k$ in ${ℝ}^3$?

Is distance considered a scalar or a vector quantity?

Why are $\mathrm{velocity}$ and $\mathrm{displacement}$ both considered $\mathrm{vector}$ quantities?

Which of the following best describes $speed$ in physics?

When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation v_x² = (2P/m)t, where P = 3.6 ✕ 10⁴ watts is the car's power output, m = 1200 kg is its mass, and v_x is in m/s. That is, the square of the car's velocity increases linearly with time. Find an algebraic expression in terms of P, m, and t for the car's acceleration at time t.

Can two vectors of unequal magnitude ever sum to $0$?

Which of the following is a vector quantity?

Given a vector $\overrightarrow{a}$ with magnitude $a$ making an angle $\theta$ with the x-axis, what is the x component of $\overrightarrow{a}$?

In a diagram showing the motion of an object, several vectors are drawn as arrows pointing from the object's initial position to its final position. What do these circled vectors represent?

$\text{Which of the following is the vector quantity that describes the shortest path between two points?}$

If a vector $𝛁$ has components $𝛼$ along the $x$-axis and $𝛽$ along the $y$-axis, what is the magnitude of vector $𝛁$?

In a one-dimensional coordinate system, if vector $\overrightarrow{A}$ is at position $x=5$ meters and vector $\overrightarrow{B}$ is at position $x=2$ meters, which vector is positioned in front along the positive $x$-axis?

What is the magnitude of a vector with components $15m$ and $8m$?

Which of the following best represents the vector field $f(x,y)=(x,-y)$?