A plane is flying due west at 275 km/h and encounters a wind from the west at 80 km/hr. What is the planes new velocity with respect to the ground in standard position?

Cian walks towards the front of a boat that is travelling 18 km/h east. If Cian's walks at 3.0 km/h relative to the boat, what is his velocity relative to the water?

A projectile is fired from ground level with an initial speed of 450 m/sec and an angle of elevation of 30 degrees. Use that the acceleration due to gravity is 9.8 m/sec². The range of the projectile is 0 meters. The maximum height of the projectile is meters. The speed with which the projectile hits the ground is m/sec.

Daniel takes his two dogs, Pauli the Pointer and Newton the Newfoundland, out to a field and lets them loose to exercise. Both dogs sprint away in different directions while Daniel stands still. From Daniel's point of view, Newton runs due North at 4.65 m/s, but from Pauli's point of view, Newton appears to be moving at 2.10 m/s due East. What must Pauli's velocity relative to Daniel be for this to be true? Express your answer in terms of the x- and y-components if North is the +y-direction and East is the +x-direction. x-component: m/s Y-component: m/s Express your answer as a magnitude and an angle measured counter-clockwise from due East. magnitude & direction: at a angle counter-clockwise from due East

A military cargo plane is passing over a remote area of wilderness  where it cannot make a safe landing. instead of landing the cargo it's dropped. The plane is flying at 284m/s horizontally at an altitude of 584m. How far out in front of the landing target should the cargo be let out the back of the plane?

Rain is falling steadily, but there is no wind. You are on a bus that moves at 50.0 km/hr, and you see that the rain appears to be falling at an angle of 31o with respect to the vertical. What is the vertical velocity of the rain drops?

A boat that can travel at 2.50 m/s in still water is heading directly across a river that is flowing at a rate of 1.25 m/s, i.e., so that it will end up downstream. (a) What is the velocity of the boat as measured by a person standing on the shore? Give both the magnitude and the angle. (b) If the river is 175 m across, how long does it take the boat to cross the river and in this time how far down stream will the boat have traveled? (c) Provide a diagram of the situation.

Ash, being a cruel person that he was, threw a Pokeball to catch another clueless and innocent supernatural animal to be used in a derby-like tournament to death. He launched it at 20m/s and a launch angle of 40 degrees from the horizontal. Determine the horizonal distance of the Pokemon from the Pokeball. What is the magnitude of the velocity of the Pokeball just before it hits the Pokemon?

An inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air speed of 40 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?

An object is launched at a velocity of 35 m/s in a direction making an angle of 53 degrees upward with the horizontal. What is the horizontal range of the object in m?