From a balcony of a building located at the dead-end of a street, John is planning to hit people coming toward his building with flowers. For this, John makes a red-colored mark on the road so that the moment he sees a person at that mark he throws a flower at a speed of 5ms−1 at an angle of 60o with vertical. Assuming that people approach the building at 3ms−1 and if the distance of the point where flower hits a person from the red-colored mark is 10m: (a) find the distance of red-colored mark from the base of the building,
(b) find the height of balcony from the ground, and
(c) just before the flower hits a person, find the horizontal and vertical components of its velocity.

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.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle