A 0.250-kgkg ice puck, moving east

A sled with rider having a combined mass of 120 kg travels over the perfectly smooth icy hill shown in the accompanying figure. How far does the sled land from the foot of the cliff (in m)?

A force acting on a particle moving in the xy plane is given by $F=(2yi+x^{2}j)N$, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=4.65 m and y=4.65 m, as in Figure.

a) Calculate the work done by F along OAC
b) Calculate the work done by F along OBC
c) Calculate the work done by F along OC
d) Is F conservative or nonconservative?

The spring in the figure (a) is compressed by length delta x . It launches the block across a frictionless surface with speed v0. The two springs in the figure (b) are identical to the spring of the figure (a). They are compressed by the same length delta x and used to launch the same block. What is the block's speed now?

A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is $\overrightarrow{R_A}$. The position vector $\overrightarrow{R_A}$ has a magnitude of ${\displaystyle {360}^m}$ and is located at exactly ${\displaystyle {40}^{\circ }}$ above the horizon. The airplane is tracked for another ${\displaystyle {123}^{\circ }}$} in the vertical east-west plane for ${\displaystyle {5.0}^s}$, until it has passed directly over the station and reached point B. The position of point B relative to the origin is $\overrightarrow{R_B}$ (the magnitude of $\overrightarrow{R_B}$ is ${\displaystyle {880}^m}$). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.

Define the displacement of the airplane while the radar was tracking it: ${\overrightarrow{R}}_{BA}={\overrightarrow{R}}_B-{\overrightarrow{R}}_A$. What are the components of ${\overrightarrow{R}}_{BA}$
Express ${\overrightarrow{R}}_{BA}$ in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.