A golf ball is tossed straight down out of an airplane. The downward velocity of the ball at various times is given in the table below.
SEC AFTER THROW DW VELOSCITY
X m/s Y
1 21.8
1.6 27.68
2 31.6
2.2 33.56
What is the slope of the line that firs this data?
Is it 7.8 8.8 9.8 or 10.8
I tried to figure out this one but I am lost- I am lost HELP!!
slope: change y/change x= (33.56-21.8)/(2.2-1)= 9.8
To find the slope of the line that best fits the data in the table, we can use the formula for slope:
Slope = (change in y) / (change in x)
In this case, the "change in y" is the change in velocity and the "change in x" is the change in time. We need to look at two points on the line to calculate the slope.
Let's take the first two data points: (1 sec, 21.8 m/s) and (1.6 sec, 27.68 m/s).
The change in y (change in velocity) is: 27.68 m/s - 21.8 m/s = 5.88 m/s.
The change in x (change in time) is: 1.6 sec - 1 sec = 0.6 sec.
Now we can calculate the slope:
Slope = (change in y) / (change in x) = 5.88 m/s / 0.6 sec = 9.8 m/s^2.
Therefore, the slope of the line that best fits the data is 9.8.