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:
-0.545454545454 repeating. there shouldnt be any steps its simple calculation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write down the problem;
Simplify
Convert so that the fractions have a common denominator; multiply the numerator and denominator of both fractions such that the denominators are equal;
Add the fractions;
Convert to mixed number;
The answer to the question will be 0. 3 Modifying Above 18 with bar
<h3>What will be the decimal expansion of 7 over 22? </h3>
When we divide 7 by 22 we will get 0.3181818..........
Here 3 is not repeating but 18 is repeating again and again
So it is a Non-terminating repeating number
Thus the answers to the question will be 0. 3 Modifying Above 18 with bar
To know more about Non terminating repeating numbers follow
brainly.com/question/17636098
Answer:
y = -1x + 2
Step-by-step explanation:
y = -1x + b
5 = -1(-3) + b
5 = 3 + b
2 = b
y = -1x + 2
