4. 2D Kinematics

An airplane is traveling at $835 \text{km}/\text{h}$ in a direction $41.5°$ west of north. What is the westward ($x$) component of its velocity?

When swimming across a river, what is the resultant velocity vector if your swimming velocity is $v_s$ and the river current velocity is $v_c$?

A car is driving at a velocity of $65km/h$. What is the car's velocity in $m/s$?

A person is standing on the equator of the Earth, which has a radius of approximately $6.4\times {10}^6$ meters and completes one rotation every $24$ hours. What is the speed of the person due to Earth's rotation at the equator?

The moon travels around the Earth in a nearly circular orbit with an average radius of approximately $3.84\times {10}^8$ meters and completes one revolution in about $27.3$ days. What is the average speed of the moon as it travels around the Earth?

Three particles move in the xy-plane with the following velocity vectors: Particle A: $3i+4j$ m/s, Particle B: $5i+0j$ m/s, Particle C: $0i+5j$ m/s. Rank the particles from highest to lowest speed.

Unlike speed, velocity is a $—$ quantity.

Which type of seismic wave travels fastest through the Earth, and which travels slowest?

Given a two-dimensional velocity field where the x-component is $u=x+y$ and the y-component is $v=0$, what is the magnitude of the velocity at the point $(3,4)$?

An electron moves in the xy-plane with a velocity that has a nonzero x component. Which of the following statements is true about its motion?

If the speed of the ions is $1.4\times \sqrt{10}{5}^{\mathrm{}}$ m/s and the ions are moving at an angle of $30°$ above the x-axis, what is the y-component of their velocity?

A piece of equipment moves $16.8$ yards in $12$ minutes. How many feet does it move per second?

Which of the following best describes the difference between $\mathrm{speed}$ and $\mathrm{velocity}$ in two-dimensional motion?

A proton moves in the $xy$-plane with velocity components $v_x$ = $3.0$ m/s and $v_y$ = $4.0$ m/s at point b. What is the proton's speed at point b?

Two meteoroids are heading for Earth. Their speeds as they cross the Moon's orbit are $2.0km/s$. If one is moving directly toward Earth and the other is moving at a $60°$ angle to the line connecting the Moon and Earth, what is the magnitude of the velocity component toward Earth for the second meteoroid?