Answer:
i think b. at least one of them contracted a lung disease
Answer:
a. v(t)= -6.78
+ 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=
=
. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒ v' + kv = g ⇒ [v]' = g. Integrating, we have
∫ [v]' = ∫g
v = 
+ c
v(t)= + c
.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c
= 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78. m/s = - 6.78 + 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78
+ 16.33 m/s = 16.328 m/s ≅ 16.33 m/s
I think there are more protests in modern day times rather then in the earlier time periods, because people are now more aware of their rights, and how they influence the way their country is run. Also, nowadays most countries are democratic, meaning that everyone can express their opinions and people protest as a way of expressing their opinions about something.
Switch the x and the y and solve for y
eg inverse of 2y= 3x+1
swith x and y
2x=3y+1
now solve for y
y =(2x-1)/3
Given Equations :
✿ 2x + y = 20 ------------------ [1]
✿ 6x - 5y = 12 ----------------- [2]
Multiplying Equation [1] with 5, We get :
⇒ 5(2x + y) = 5(20)
⇒ 10x + 5y = 100 -------------- [3]
Adding Equations [2] and [3], We get :
⇒ (10x + 5y) + (6x - 5y) = 100 + 12
⇒ 16x = 112
⇒ x = 7
Substituting x = 7 in Equation [1], We get :
⇒ 2(7) + y = 20
⇒ 14 + y = 20
⇒ y = 20 - 14
⇒ y = 7
So, The Solution for the Given System of Equations is : (x , y) = (7 , 7)
