An object starts from rest and falls under the influence of gravity. Draw graphs of (a)

Chapter 2, Problem 38P

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QUESTION:

An object starts from rest and falls under the influence of gravity. Draw graphs of (a) its speed and (b) the distance it has fallen, as a function of time from t = 0 to t = 5.00 s. Ignore air resistance.

Questions & Answers

QUESTION:

An object starts from rest and falls under the influence of gravity. Draw graphs of (a) its speed and (b) the distance it has fallen, as a function of time from t = 0 to t = 5.00 s. Ignore air resistance.

ANSWER:

Step 1 of 2

Part a

We are required to draw the speed and time graph of the falling object.

The object falls from rest, so the initial speed is

Let the final speed be .

It falls under the gravity influence, so the equation of motion is,

 

 ( since  )

Find v values from  to s.

The speed and time plot is shown below. The plot is done using OriginPro.

Speed-Time plot.png

The plot is a straight line, since   is a straight line equation.

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