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:
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
Given
equation t = 6n
n is term number
we have to find 100th term.
Thus, term number is 100
substituting 100 in place of n in equation t=6n , we can find the value of 100th term
t = 6*100 = 600
Thus, 100th term is 600.
Answer:
its the math that solve
Step-by-step explanation:
If you would like to solve the equation x - 6 = - 14, you can calculate this using the following steps:
x - 6 = - 14
x = - 14 + 6
x = - 8
The correct result would be d. - 8.
