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
A will equal 8. can i get a brainliest plz
Answer:
<h2>p = 5</h2>
Step-by-step explanation:
<span>= 49567/1000
</span>rite the decimal number as a fraction
(over 1)
49.567 = 49.567 / 1
Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's
Numerator (N)
N = 49.567 × 10 × 10 × 10 = 49567
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000
N / D = 49567 / 1000
Simplifying our fraction
<span>= 49567/1000</span>
Well, if the bottom is 4 on one side and 6 on the other side( lets use the other side as slant) and on the tone on one side its 8, then how I see it is that to add 2 because 4+2=6. x would be 10 because 8+2=10! Hope this helps!!
