it would be..... C
sorry if I am wrong I tryed to think, At least I try!
Answer:
a) b = -5
b) slope = 3/2
Explanation:
a) The equation of a line is given as y = mx + b, where m is the slope of the line and b is the intercept on the y axis.
Given that y = 3x + b and it passes through the point (2, 1). Hence when x = 2, y = 1. Therefore, substituting for x and y:
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
b) The equation of a line passing through two points (
) and
is given by:

The equation of the line passing through the two points (0,3) and (4,9) is:

Comparing y = (3/2)x + 3 with y = mx + b, the slope (m) is 3/2
Answer:


Explanation:
the maximum speed is reached when the drag force and the weight are at equilibrium, therefore:




To calculate the velocity after 100 meters, we can no longer assume equilibrium, therefore:



(1)
consider the next equation of motion:

If assuming initial velocity=0:
(2)
joining (1) and (2):




(3)





To plot velocity as a function of distance, just plot equation (3).
To plot velocity as a function of time, you have to consider the next equation of motion:

as stated before, the initial velocity is 0:
(4)
joining (1) and (4) and reducing you will get:

solving for v:

Plots:
Proxigean Spring <span>Tide</span>