Free Fall Problems
1.)
A pencil is dropped from the top of a very tall bridge and hits the ground 3.2 s later
A) With what velocity did the pencil hit the river below?
B.)
How far did the pencil fall?||

Respuesta :

Answer:

50.2m

Explanation:

Given parameters:

Time taken for the pencil to hit the ground  = 3.2s

Unknown:

Final velocity = ?

height of fall  = ?

Solution:

To solve this problem, we should apply appropriate motion equations;

A.

        V = U  + gt

V is the final velocity

U is the initial velocity

g is the acceleration due to gravity

t is the time taken

  Insert the parameters and solve;

        V = 0 + 9.8 x 3.2  = 31.36m/s

B.

             h = ut  + [tex]\frac{1}{2}[/tex]gt²

   h is the height of fall

 

 Insert the parameters and solve;

           h =  [tex]\frac{1}{2}[/tex] x 9.8 x 3.2²  = 50.2m