The equation of the line is x=2
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
Answer:
20 inches x 26 inches
Step-by-step explanation:
set up an equation: (2x)(x+7)=520
now just solve it
2x^2+14x=520
x^2+7x-260 = 0
factor: (x-13)(x+20)
x = 13 and -20
13 is the only one that works because you can't have a negative side length
13+7=20
13*2=26
lmk if you don't understand how to solve that equation
determine which sequence is an arithmatic sequence. a. -10, 5, - 5/2, 5/4,... b. 1/5, 1/7, 1/9, 1/11, ... c. 3,6, 12, 24,... d.
Damm [24]
Answer:
d
Step-by-step explanation:
An arithmetic sequence has a common difference between its terms. The only sequence with a common difference is choice d, which has a common difference of -4. The other options have common ratios, making them geometric, not arithmetic, sequences.
You can use an input table x is the input and y is the output.
3(x) (y)7
3(1)=3 (3)7=21
........................................
so on
