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Katarina [22]
2 years ago
9

Si un proyectil asciende verticalmente, y después de 3 segundos alcanza su altura máxima, calcule la velocidad que lleva a la mi

tad de su trayectoria descendente
Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Answer:

The speed is 20.8  m/s

Step-by-step explanation:

If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory

Let the maximum height is h and initial velocity is u.

From first equation of motion

v = u + at

0 = u - g x 3

u = 3 g.....(1)

Use third equation of motion

v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g

Let the speed at half the height is v'.

v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s

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Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0
3 years ago
Math<br><br><br><br> help pleaseeeeeeee<br><br> due todayyy
just olya [345]

Answer:

Option D is correct ...

Step-by-step explanation:

because f(x) is defined on x<0 which is only possible in log(-x)

6 0
2 years ago
Read 2 more answers
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ch4aika [34]
Let the distance to his office be x, then
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7(3x + 15) = 30x
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30x - 21x = 105
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7 0
3 years ago
Which is the property that justifies the action?
lidiya [134]
A) Action: multiply both sides by 4. 

Have a look: 

(x/4)x4=16x4 
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As you can see, the value of x can be found by multiplying 4 on both sides.

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4 0
3 years ago
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morpeh [17]

Answer:

50

Step-by-step explanation:

140- 40=100

100÷2=50

x=50

6 0
2 years ago
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