Avector has an x-component of -3.09m and a y-component of 187. find the magnitude and direction of the vector.

187 meters, 90.9 degrees

Explanation:

vx = -3.09 m

vy = 187 m

Use Pythagorean theorem to find the magnitude:

v² = vx² + vy²

v² = (-3.09)² + 187²

v² = 9.55 + 34969

v² = 34978.55

v = 187 meters

Use trigonometry to find the angle:

θ = atan(vy / vx)

θ = atan(187 / -3.09)

θ = -89.1°, 90.9°

Since θ is in the second quadrant, θ = 90.9°.

explanation:

the masses of the objects and the distance between them

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.