A certain freely falling object, released from rest, requires 1.85 s to travel the last 27.0 m before it hits the ground.
(a) Find the velocity of the object when it is 27.0 m above the
ground. (Indicate the direction with the sign of your answer. Let
the positive direction be upward.)
m/s
(b) Find the total distance the object travels during the
fall.
m
(a) We have to find v1 (see the figure below):
The last 27 meters travelled before the fall will be noted with , which has the formula:
(If I write the equation taking into account the sense of the axis as is illustrated in the figure, all the terms will be with minus. Thus, the equation is as was written above.)
Extract v1 from formula (1):
v1~5.53 m/s
Taking into account the axis that was considered (see the figure), v1 is negative.
(b) From the equation of velocity v1 we extract the total time of movement (between point 0 and 2), T:
(v0=0)
T~2.41 s
(or 28.56m, depending on the precision when calculating v1 and T)
A certain freely falling object, released from rest, requires 1.85 s to travel the last 27.0...
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