Vertical linear Motion Problem for conceptual understanding of vertical motion.

This is an An interesting problem to understand the vertical upward or downward motion conceptualy. Do you know how to apply kinematical equations to the vertical motion? Are you sared of solving tough problems on kinematical euqaions of motion? Don't worry, solving one such problem or properly understanding its solution will definitely prepare your mind to solve such problems. The problem is as follows.
Its step by step detailed solution with indepth explanation alongwith all neat diagrams you will observe in the word file attached with the solution.

Read it and enjoy solving vertical motion problems.

The problem:
A Ball is thrown upward with an initial speed of 11m/s. One second later, a stone is thrown vertically upward with an initial speed of 25m/s.
Find
a) the time it takes the stone to catch up with the ball.
b) Find the velocities of the stone and the ball when they are at the same height.
c) The distance from the ground i.e. the heght where ball catches the stone.
d) The maximum distance of separation between both.
e) The time at which both will be at maximum distance from each other.

A fighter pilot dives his plane toward the ground at 230 m/s. He pulls out of the dive on a vertical circle. What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?

A toy car runs off the edge of a table that is 1.350 m high. The car lands 0.405 m from the base of the table.
(a) How long did it take the car to fall?
_______s
(b) How fast was the car going on the table?
_______ m/s

A symmetric top started spinning about a vertical axis. In order not to topple over it must be spinning sufficiently fast. How fast is sufficiently fast? Provide representative sketches for the effective potential for teh case of stable and non-stable motion. When the top is not spinning fast enough to remain spinning in the ver

A football is kicked at an angle of 50 degrees and travels a distance of 20 m before hitting the ground.
a. What is the initial speed of the ball?
b. How long is it in flight?
c. How high does it rise?

Please see the attached.
I'm having a tough time understanding the simple elements of circular motion and the force vectors (horizontal, vertical and normal) that results from this motion.
Please explain in simple terms if possible.
See attached.

A mountain climber jumps a 1.6 m wide crevasse by leaping horizontally with a speed of 7.0 m/s.
(a) If the climber's direction of motion on landing is -45°, what is the height difference between the two sides of the crevasse?
(b) Where does the climber land?

1. A father pulls his young daughter on a sled with constant velocity on a level surface through a distance of 25 m. The total mass of the sled and the girl is 45 kg and the coefficient of kinetic friction between the sled runners and the snow is .35
The force exerted by the man is applied at an angle of 30 degrees with resp

A particle of mass m moves under the influence of gravity along the helix
Z = K* (theta), r = constant
where K is constant and Z is vertical.
Obtain the Hamiltonian equations of motion.

For women's volleyball the top of the net is 2.24 m above the floor and the court measures 9.0 m by 9.0 m on each side of the net. Using a jump serve, a player strikes the ball at a point that is 3.0 m above the floor and a horizontal distance of 8.0 m from the net. If the initial velocity of the ball is horizontal,
a) what mi

You are asked to consult for the city's research hospital, where a group of doctors is investigating the bombardment of cancer tumors with high-energy ions. The ions are fired directly toward the center of the tumor at speeds of 6.00E6 m/s. To cover the entire tumor area, the ions are deflected sideways by passing them between t