A vector, V, has a magnitude of 350 N and a direction of 55°. Determine the...

A vector, V, has a magnitude of 350 N and a direction of 55°. Determine the following:
1. V_x = ______
2. V_y = ______

If V_x = 12 m and V_y = 17 m then determine the following:
1. What is the magnitude, V, of this vector?
2. What is the direction, θ, of this vector?

A hiker walks 2.5 km at an angle of 45 degrees north of west, and then hikes 4.0 km at an angle of 30 degrees north of east. What is the displacement of the hiker from the origin (magnitude and direction)? Determine the magnitude and direction by adding the vectors graphically and mathematically. Be sure to attach your graph.

Magnitude (from graph): _______ Magnitude (mathematical) : ______

Direction (from graph): _______ Direction (mathematical) : ______

A projectile is launched with a velocity of 130 m/s at an angle of 41 degrees (relative to the ground). Determine the following:
1. v_x = _____

v_y = _____

What is the maximum height of the projectile?

What is the range of the projectile?

Where is the projectile 4.0 s after it is launched?

If there was a 50 m high wall that is 1400 m away, would the projectile be able to clear this wall? Show why or why not.

If a river has a westward current of 1.30 m/s and you head due north across the river on a boat that has a speed of 1.5 m/s in still water, then what is speed of the boat relative to the shore? At what angle does it cross the river?

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genius_generous answered 1 year ago

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