The fastest propeller-driven aircraft is the russian tu-95/142, which canreach a maximum speed of 925 km/h. for this speed, calculate the plane'sresultant displacement if it travels east for 1.50 h, then turns 135° north-west and travels for 2.00 h

The resultant displacement of plane = 1310.76 Km

Explanation:

Given that,

Speed of the plane = 925 Km/h

Therefore, in 1 hour plane travels 925 Km

From figure,

Displacement if it travels east for 1.5 h, AB = 1387.5 Km

Displacement if it travels north-west for 2 h, BC = 1850 Km

Angle formed between two displacement = 135°

The resultant displacement is given by the relation

          AC² = AB² + BC² + 2 AB BC Cos θ

Substituting the values in the equations,

           AC²  = 1387.5² + 1850² + 2 x 1387.5 x 1850 x Cos 135°

                    = 1718095

           AC =  1310.76

Therefore, the resultant displacement of plane is 1310.76 Km

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.