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Answer:
The function , where x is the depth in meters.
Step-by-step explanation:
As per the statement: The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.
Then, we have the two points i,e (0, 1) and (23, 3.3).
An equation of the line is in the form of y=mx+b where m is the slope or rate of the line and b is the y-intercept.
Let x represents the depth in meters and p(x)= y represents the pressure in atmosphere.
Calculate slope of the line:
Slope of line(m) is given by:
Substitute the given point we have;
Then, our equation of line become:
y = 0.1x + b .....[1]
To solve for b;
Substitute the point (0, 1) in [1];
Our equation for this line become: y = 0.1x +1
Now, we write this for x as a function of p,
i.e, p(x) = 0.1x + 1
Then, the function formula become;
where x is the depth in meters.
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
Here, v = -6.5 m/s, t = 1.5 s and a = -g
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).