Answer:
y = 2/3x - 1
Step-by-step explanation:
The simpliest way to determine the slope of the line is to see the rise over run of the line. In this case, we are given two points which are at (0, -1) and (3,1)
By calculating rise of run, we can see that the starting point goes up by 2 units, from -1 to 1 and goes to the right 3 units, from 0 to 3
In this case, that means we have a slope of 2/3x.
The +b plays into the y-intercept of the line, which is actually the same of one of our points: (0,-1)
Since this number is a negative, it would actually be y = (2/3)x + (-1) which is the same as y=2/3x - 1
Answer:
Step-by-step explanation:
4/3 = t/7
Multiply by 7 on both sides
4/3 x 7 = t
28/3 = t
For this case we have the following equation:
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
By the time the ball hits the ground we have:
From here, we clear the value of time:
Using the quadratic equation we have:
Doing the calculations we have:
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds
