Answer:
it has one solution
Step-by-step explanation:
Final Velocity = Initial Velocity + (Acceleration * time)
Final Velocity = ?
Initial Velocity = 3
Acceleration = 1.5
Time = 7
Plug in and solve
3+(1.5*7)
3+10.5
Velocity = 13.5m/s
I'm sorry, I truly wanted to help, but honestly, I'm clueless and I've viewed all three of you questions.
The centroid is the average of all the coordinates.
-3+1+5/2=x
x=3/3
1+6+2/2=y
y=9/3
The answer is (1,3)
<u>Answer:</u>
time required = 26 min
<u>Step-by-step explanation:</u>
To solve this, let's first list all the given information, and change the units to millimeters (mm) if required (because the discharge rate is given in mm/s):
○ diameter of pipe = 64 mm ⇒ radius = 32 mm
○ water discharge rate = 2.05 mm/s
○ diameter of tank = 7.6 cm = 76 mm ⇒ radius = 38 mm
○ height of tank = 2.3 m = 2300 mm.
Now, let's calculate the cross-sectional area of the pipe:
Area = πr²
⇒ π × (32 mm)²
⇒ 1024π mm²
Next, we have to calculate the volume of water transferred from the pipe to the tank per second. To do that, we have to multiply the pipe's cross-sectional area and the discharge rate of the water:
Volume transferred = 1024π mm² × 2.05 mm/s
⇒ 6594.83 mm³/s
Now. let's find the volume of the cylindrical tank using the formula:
Volume = π × r² × h
⇒ π × (38)² × 2300
⇒ 10433857 mm³
We know that 6594.83 mm³ of water is transferred to the tank every second, so to fill up 10433857 mm³ with water,
time required =
⇒ 1582.12 s
⇒ 1582.13 ÷ 60
≅ 26 min