SOLUTION: a body b is dropped from the top of the tower 100m high at the same instant that a body a is thrown vertically upward from the ground. the two bodies pass each other at a height of

Question 1200071: a body b is dropped from the top of the tower 100m high at the same instant that a body a is thrown vertically upward from the ground. the two bodies pass each other at a height of 21.6m from the ground.
a. Initial velocity og body A?
b. Maximum height of body A?
C. Final velocity of body B?
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
.
a body B is dropped from the top of the tower 100m high.
at the same instant that a body A is thrown vertically upward from the ground.
the two bodies pass each other at a height of 21.6m from the ground.
a. Initial velocity og body A?
b. Maximum height of body A?
C. Final velocity of body B?
~~~~~~~~~~~~~~~~~~~~

The falling body B height equation is

    h = 


Use it to find the time "t", when it reaches the height 21.6m

     = 21.6

     = 100 - 21.6

    t =  = 4 seconds.


For the body A thrown vertically upward from the ground, the height equation is

    h = ,

where v is the unknown vertical initial velocity.  We just know that this body reached 
the height 21.6 meters in 4 seconds; so

    21.6 = .


Solve this equation to find v

    v =  = 25 m/s.


It is the answer to question (a): the initial velocity of body A is 25 m/s.

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