A roller-coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30.08 above the horizontal. It next travels 135 ft at an angle of 40.08 down- ward. What is its displacement from its starting point

Distance between starting point to end point = 171 ft

Explanation:

distance to be calculated is AB

AB = AC + BC

AC,  Cos 60

= AC ÷ 135

AC = 135 cos 60

= 67.5 ft

BC, Cos 40

= BC ÷ 135

BC = 135 cos 40

= 103.416 ft

AB = 67.5 + 103.416

= 170.9159998210 ft

Distance between starting point to end point = 171 ft

a.

explanation:

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.