Chapter 3, Problem 1GA

To determine

The graph by plotting the points $(t,y)$ from the given data

Answer to Problem 1GA

The required graph is drawn.

Explanation of Solution

Given:

Natalie Dalton was a player on the Daytona State College Women’s fast-pitch softball team.

She threw ball $120$

feet from right field to make a play at third base.

The height of the ball (in feet) at $0.2-\sec$

intervals was recorded in the table.

Time (sec) t	$0$	$0.2$	$0.4$	$0.6$	$0.8$	$1.0$	$1.2$	$1.4$	$1.6$	$1.8$	$2.0$
Height (feet) $y$	$5$	$11$	$16$	$19$	$21$	$22$	$21$	$19$	$16$	$12$	$6$

Key Concepts Used:In this problem; the height of the ball thrown byNatalie Dalton,a Women’s fast-pitch softball player with respect to time in seconds is given in table at $0.2-\sec$ intervals. They ask us to plot the points $(t,y)$ from the given data. By requirement of the points as $(t,y)$, we consider time $\left(t\right)$ in seconds along $x-$ axis and height $\left(y\right)$ in feet along $y-$ axis. We draw by the above consideration a graph and plot the given points $(0,5),$

$(0.2,11),(0.4,16),(0.6,19),(0.8,21),(1.0,22),(1.2,21),$

$(1.4,19),$

$(1.6,16),(1.8,12)(2.0,6)$ which is shown below.

Conclusion:

The points which are given on the table of Time (t) in seconds and Height(y) in feet, $(0,5),$

$(0.2,11),(0.4,16),(0.6,19),(0.8,21),(1.0,22),(1.2,21),(1.4,19),(1.6,16),(1.8,12)(2.0,6)$ are drawn on the graph.