To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 350 m/s at 45.0° above the horizontal. It explodes on the mountainside 39.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?x =y =

An artillery shell is fired with an initial velocity of 300 m/s at 54.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 34.0 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point? x=? y=?

During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 42 m/s at an angle θ = 43° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. a.)Express the magnitude of the ball’s initial horizontal velocity v0x in terms of v0 and θ.  b.)Express the magnitude of the ball’s initial vertical velocity v0y in terms of v0 and θ.  c.)Find the ball’s maximum vertical height hmax in meters above the ground.

The velocity of the wind relative to the water is crucial to sailboats. Suppose a sailboat is in an ocean current that has a velocity of 2.1 m/s in a direction 27° east of north relative to the Earth. It encounters a wind that has a velocity of 4.4 m/s in a direction of 49° south of west relative to the Earth.  1. What is the magnitude of the velocity of the wind relative to the water, in meters per second?   2. What is the angle of the velocity of the wind relative to the water degrees south of west?