Answer:
a) The differential equation for the velocity is given by
(dv/dt) = k(250 - v)
b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
Step-by-step explanation:
Acceleration, a ∝ (250 - v)
But acceleration is widely given as dv/dt
(dv/dt) ∝ (250 - v)
(dv/dt) = k(250 - v)
where k = constant of proportionality
(dv/dt) = k(250 - v)
b) (dv/dt) = k(250 - v)
dv/(250 - v) = k dt
∫ dv/(250 - v) = ∫ k dt
- In (250 - v) = kt + c (where c is the constant of integration)
v(0) = 0; meaning, at t = 0, v = 0
- In 250 = 0 + C
c = - In 250 = - 5.52
- In (250 - v) = kt - 5.52
In (250 - v) = 5.52 - kt
250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾
v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
i hope this work for you
and sory if im wrang
Always for prisms like a rectangle you multiply all sides so 8 times 4.5 times 3.5 = 126, for a triangular prism your have to divide by 2 .
Hope this was helpful
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
a
Step-by-step explanation:
51 3/5 = 258/5
258/5 / 4 = 12.9 (meters the submarine dives each min)
now we have to find out what 12.9 is as a fraction!
12.9= 12 9/10 because .9 is equal to 9/10, and 12. equals 12!
Given that cos(t)= 5/13
t is in fourth quadrant, so sint<0 and cost>0
So sint = -sqrt(1-cos^2(t))= -sqrt(1-25/169)= - sqrt((169-25)/169)= -12/13
Sin(2t) = 2sin(t)cos(t)= 2*-12/13* 5/13 = -120/169
