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Algebra_2

Chapter 37

Problem 1

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Above the surface of the earth, an object that is thrown downward toward the earth
with an initial velocity of click on refresh(F5) will increase its velocity due to gravity at an accelerated
rate of click on refresh(F5) for every second. The shorthand form that describes the velocity of this object
at some time t is click on refresh(F5).
This function v(t) is graphed below for the initial velocity v(0)=2m/s and for the acceleration a=9.8m/s/s.
(Note: at time t=0s the velocity v(0) = 2m/s and at time t=2s the velocity v(2) = 21.6m/s as shown to
the left on the vertical axis).
Check several values of time t to find the corresponding v(t) on the left axis.


Graphing Functions (solve problem using grapher)



Given: A steel ball is thrown downward with an initial speed of v(0) = meters per second.
The earths gravity increases the speed by ( t ) meters per second. (Time t is measured in seconds)
Find the speed of the steel ball v(t) after time t = seconds.

The shorthand form (function) for the speed of the ball at any given time t can be written as

click on refresh(F5)

Given that a = m/s2 and v(0) = m/s the shorthand form (by substitution) becomes:

click on refresh(F5)

The speed at time t = seconds is

v(s) = click on refresh(F5)