Calculate the relationship between the heights reached by two bodies launched vertically upwards, with equal initial speeds, one on Earth, the other on the Moon. It is known that the acceleration due to gravity on Earth is 6 times greater than on the Moon.

A body is released at a height of H without air resistance. Calculate H, knowing that the body falls the last h meters in T seconds. The acceleration due to gravity is g.

From a platform at a height h above the ground, an object is released, at the same instant, another object is launched from the ground to the same upward direction with initial speed v₀. The two objects meet in half of the height, calculate h as a function of v₀ and the acceleration due to gravity g.

From the top of a building with 60 m, a stone is thrown vertically upwards with an initial speed of 20 m/s. Determine:
a) The time interval of the rise of the stone;
b) The maximum height above the ground;
c) After how long after launching the stone hits the ground;
d) The speed of the stone hits the ground;
e) Construct a graph of displacement versus time and velocity versus time.
Assume the acceleration due to gravity is equal to 10 m/s².

Two tractors start together, maneuvering in a straight line, at a construction site. The graph of velocity versus time which represents the movement of the tractors is shown in the figure. Calculate the distance that separates them at the end of the maneuver.