Carrying capacity is the maximum amount of people that our planet can support indefinitely. It will impact our future because we will have to work around it and figure out a solution.
Answer:
1.6 miles/min..
Explanation:
Let y be the height of the balloon at time t. Our goal is to compute the balloon's velocity at the moment .
balloon's velocity dy/dt when θ =π/3 radian
so we can restate the problem as follows:
Given dθ/dt = 0.1 rad/min at θ = π/3
from the figure in the attachment
tanθ = y/5
Differentiating w.r.t "t"
sec^2 θ×dθ/dt = 1/4(dy/dt)
⇒ dy/dt = (4/cos^2 θ)dθ/dt
At the given moment θ =π/3 and dθ/dt = 0.1 rad/min.
therefore putting the value we get
solving we get
= 1.6 miles/min
So the balloon's velocity at this moment is 1.6 miles/min.
Answer:
Explanation:
<u>Instant Acceleration</u>
The kinetic magnitudes are usually related as scalar or vector equations. By doing so, we are assuming the acceleration is constant over time. But when the acceleration is variable, the relations are in the form of calculus equations, specifically using derivatives and/or integrals.
Let f(t) be the distance traveled by an object as a function of the time t. The instant speed v(t) is defined as:
And the acceleration is
Or equivalently
The given height of a projectile is
Let's compute the speed
And the acceleration
It's a constant value regardless of the time t, thus
Answer:
s4n4 the chemical formula
Answer:
A. Splitting water into hydrogen and oxygen.
Explanation:
A chemical change produces a new substance. ... A physical change does not produce a new substance. Changes in state or phase (melting, freezing, vaporization, condensation, sublimation) are physical changes.