Concept explainers
a)
To evaluate: the vertical motion model to write an equation that gives the ball’s height h , in feet, at time t , in seconds.
a)
Answer to Problem 38PPE
Equation becomes
Explanation of Solution
Given:
Suppose a softball thrown into the air with an initial upward velocity of 38 ft/s and an initial height of 5ft .
The vertical model is given by,
where
h = total height reached,
v = velocity
s = initial height
After substitution,
Equation becomes
b)
To evaluate: the equation written in part (a) for h = 0 to find when the ball lands.
b)
Answer to Problem 38PPE
The ball lands when t = 2.5 sec.
Explanation of Solution
Given:
Suppose a softball thrown into the air with an initial upward velocity of 38 ft/s and an initial height of 5ft .
The vertical model is given by,
where,
h = total height reached,
v = velocity
s = initial height
After substitution,
Equation becomes
When h = 0,
Applying
The negative value of t is not possible.
So, the ball lands when t = 2.5 sec.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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