4. 2D Kinematics

Velocity in 2D

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A ball is being whirled in a horizontal circle at constant speed on a frictionless table, attached to a string that passes through a hole in the center. If the string breaks suddenly, how fast will the ball move immediately after the string breaks?
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An airplane is traveling at $835 km / h$ in a direction $41.5 °$ west of north. What is the westward ( $x$ ) component of its velocity?
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When swimming across a river, what is the resultant velocity vector if your swimming velocity is $v_{s}$ and the river current velocity is $v_{c}$ ?
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A car is driving at a velocity of $65 k m / h$ . What is the car's velocity in $m / s$ ?
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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?
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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?
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Three particles move in the xy-plane with the following velocity vectors: Particle A: $3 i + 4 j$ m/s, Particle B: $5 i + 0 j$ m/s, Particle C: $0 i + 5 j$ m/s. Rank the particles from highest to lowest speed.
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Unlike speed, velocity is a $—$ quantity.
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Which type of seismic wave travels fastest through the Earth, and which travels slowest?
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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 $(3, 4)$ ?
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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?
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If the speed of the ions is $1.4 \times \sqrt{10} 5^{}$ m/s and the ions are moving at an angle of $30 °$ above the x-axis, what is the y-component of their velocity?
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A piece of equipment moves $16.8$ yards in $12$ minutes. How many feet does it move per second?
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Which of the following best describes the difference between $speed$ and $velocity$ in two-dimensional motion?
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A proton moves in the $x y$ -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?
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