Step-by-step explanation:
sin 46°= a/12.8
a = sin46° * 12.8 = 9.20
cos59°=b/16.8
b = cos59°*16.8 = 8.65
3.01 m/s
This is a simple projectile calculation. What we want is a vertical velocity such that the time the droplet spends going up and going back down to the surface exactly matches the time the droplet takes to travel horizontally 0.800 meters. The time the droplet spends in the air will is:
V*sqrt(3)/2 ; Vertical velocity.
(V*sqrt(3)/2)/9.8 ; Time until droplet reaches maximum height
(V*sqrt(3))/9.8 ; Double that time for droplet to fall back to the surface.
The droplet's horizontal velocity will be:
V/2.
So the total distance the droplet travels will be:
d = (V*sqrt(3))/9.8 * V/2
d = V^2*sqrt(3)/19.6
Let's substitute the desired distance and solve for V
d = V^2*sqrt(3)/19.6
0.8 = V^2*sqrt(3)/19.6
15.68 = V^2*sqrt(3)
15.68/sqrt(3) = V^2
15.68/1.732050808 = V^2
3.008795809 = V
So after rounding to 3 significant figures, the archerfish needs to spit the water at a velocity of 3.01 m/s
Let's verify that answer.
Vertical velocity: 3.01 * sin(60) = 3.01 * 0.866025404 = 2.606736465
Time of flight = 2.606736465 * 2 / 9.8 = 0.531987034 seconds.
Horizontal velocity: 3.01 * cos(60) = 3.01 * 0.5 =
Answer:
45 feet
Step-by-step explanation:
To find the width of the model, we need to find the scale of the model to the actual tower.
Since we know the height of both towers, we can use that as the basis.
24 inches : 60 feet
12 inches : 30 feet
6 inches : 15 feet
So the width of the tower is 18 inches wide.
18 inches will then be equal to 12 + 7 inches : 30 + 15 feet
18 inches : 45 feet
Answer:
Well, the first thing you must do is find the slope
(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3
Now, I am going to use the formula for the slope, which is
y2-y1/(x2-x1)
[-3-2]/(1-0)= -5/1 or just -1
Next, I am going to use the point slope form, which is
y-y1=m(x-x1). m=5, x1=0, y1=2
y-2= -5(x-0)
y-2=-5x
+2 +2
y= -5x+2 This is the slope intercept form.
we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)
