Answer: 1.289 m
Explanation:
The path the cobra's venom follows since it is spitted until it hits the ground, is described by a parabola. Hence, the equations for parabolic motion (which has two components) can be applied to solve this problem:
<u>x-component:
</u>
(1)
Where:
is the horizontal distance traveled by the venom
is the venom's initial speed
is the angle
is the time since the venom is spitted until it hits the ground
<u>y-component:
</u>
(2)
Where:
is the initial height of the venom
is the final height of the venom (when it finally hits the ground)
is the acceleration due gravity
Let's begin with (2) to find the time it takes the complete path:
(3)
Rewritting (3):
(4)
This is a quadratic equation (also called equation of the second degree) of the form 
, which can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving (6) we find the positive result is:
(7)
Substituting (7) in (1):
(8)
We finally find the horizontal distance traveled by the venom:
Can you put the answers, if there are any?
Once you do, Ill respond with a answer asap!
:)
1st derivative gives velocity;
d r(t)/ dt = 2t i + 6 j + 4/t k
2nd derivative gives acceleration;
d^2 r(t)/ dt^2 = 2 i - 4/ t^2
Speed ;
Square root of (4 t^2 + 36 + 16/ t^2)
For a given time, like 2 seconds, t will be 2. And answer of speed will be scalar.
Answer:
g/cm³
Explanation:
From the question given above,
The y-axis is representing mass (g)
The x-axis is representing volume (cm³)
Unit of slope =?
Slope of a graph is simply defined as the change in y-axis divided by the change in x-axis. Mathematically it is expressed as:
Slope = change in y-axis (Δy)/change in x-axis (Δx)
Slope = Δy/Δx
Thus, with the above formula, we can obtain the unit used for measuring the slope as follow:
y-axis = mass (g)
x-axis = volume (cm³)
Slope =.?
Slope = Δy/Δx
Slope = mass (g) /volume (cm³)
Slope = g/cm³
Therefore, the derive unit used for measuring the slope is g/cm³
Answer:
0.137m²
Explanation:
Pressure = Force/Area
Given
Force = 41,500N
Pressure = 3.00atm
since 1atm = 101325.00 N/m²
3atm = 3(101325.00)
3atm = 303,975N/m²
Pressure = 303,975N/m²
Get the area
Area = Force/Pressure
Area = 41500/303,975
Area = 0.137m²'
Hence the surface area of the inside of the tire is 0.137m²
