4. 2D Kinematics

If Mars orbits the Sun at less than $60\%$ of the speed of Earth, which of the following best describes the relationship between the orbital velocities of Mars and Earth?

In two-dimensional motion, can the $velocity$ of an object be considered $-$negative?

A blue dot is projected upward at an angle from the ground and follows a parabolic trajectory. If the blue dot is $0.40 m$ above the road at a certain instant, what is its speed at that height?

A golf ball is struck with an initial velocity of $80ft/s$ at an angle of $30°$ above the horizontal. What is the vertical component of the initial velocity?

A plane accelerates along a runway and takes off at an angle $\theta$ above the horizontal with velocity components $v{x}_0$ and $v{y}_0$. What is the speed $v{\mathrm{to}}_{}$ of the plane as it takes off?

Which information is necessary to determine the $\mathrm{speed}$ of a vehicle in a two-dimensional accident scenario?

A projectile is launched at an angle above the horizontal with an initial speed of $v_0$. What is its velocity $1$ s before it reaches its highest point?

Two cars are moving along different paths in a plane. At which of the following time intervals do the two cars have the same velocity at a single instant?

In the context of fluid flow, $v$ (velocity) and turbulence are _____ at the __________.

A rock is thrown horizontally from the edge of a cliff with an initial speed of $v_0$. If the height of the cliff is $h$, what is the rock's speed as it hits the bottom of the hole? (Neglect air resistance.)

A rocket moves in two dimensions with its velocity given by $v=\sqrt{v^{x_0}+v^{y_0}}$, where $v{x}_0$ and $v{y}_0$ are the initial velocity components in the x and y directions, respectively. If the rocket's velocity components vary such that $v{x}_0$ ranges from $0$ to $100$ m/s and $v{y}_0$ ranges from $0$ to $100$ m/s, what are the corresponding minimum and maximum velocities that the rocket experiences?

According to the graph of Hubble's law, galaxies with high speeds as measured from Earth are: $v=Hd$

Given a particle moving in two dimensions, if at instant 1 its position vector is $2i+3j$ meters and at instant 2 its position vector is $6i+7j$ meters, and the time interval between the two instants is $2$ seconds, the velocity at instant 1 is _________ and the velocity at instant 2 is _________.

If the air in a wind tunnel test section flows at a speed of $10m/s$ in the positive x-direction, what is the velocity vector of the air in the test section?

Suppose two planes are flying in the $xy$-plane. Plane A moves with velocity $(200,150)$ km/h and Plane B moves with velocity $(180,160)$ km/h. Which plane's velocity magnitude is greatest?