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An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The function s left parenthesis t right parenthesis equals negative 16t^2 + 144t describes the height of the debris above the​ ground, s(t), in​ feet, t seconds after the explosion. What is the instantaneous speed of the debris when it hits the​ ground?

Answers

Answer 1

Explanation:

An explosion causes debris to rise vertically with an initial velocity of 144 feet per second. The height as a function of time t is given by :

[tex]s(t)=-16t^2+144t[/tex]

t is in time in seconds

The speed of the debris is :

[tex]\dfrac{ds}{dt}=\dfrac{d(-16t^2+144t)}{dt}\\\\\dfrac{ds}{dt}=v=-32t+144[/tex] .......(1)

When it hits the ground, the distance covered is equal to 0 i.e. s(t)=0

So,

[tex]-16t^2+144t=0\\\\t(-16t+144)=0\\\\16t=144\\\\t=\dfrac{144}{16}\\\\t=9\ s[/tex]

It means at 9 seconds it will hit the ground.

Put t = 9 s in equation (1). So,

[tex]v=-32(9)+144\\\\v=-144\ m/s[/tex]

So, the the instantaneous speed of the debris when it hits the​ ground is (-144 m/s).


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Which of the planets do not have moons?

Answers

Answer:

Mercury and Venus

Explanation:

Answer: Mercury and Venus

Explanation:The outer Solar System includes Jupiter, Saturn, Uranus, Neptune and Pluto and the rest of the moons.

Help me plzz thanks

Answers

We know that the speed for item A is more than the speed for item B because momentum is mass times velocity and if they have the same mass and different momentum the speed must be different

The current in the wires of a circuit is 120.0 milliamps.If the voltage impressed across the ends of the circuit where tripled(with no change in its resistance), then its new current would be how amps

Answers

Answer:

Explanation:

Current in a wire is 120mA

I = 120mA = 120 × 10^-3 A

I = 0.12 A

If the voltage applied at across the wire is tripled

From ohms law

V=IR

R = V / I

Since R is constant

Then,

V / I = K

Then, we can say

V / I = V' / I'

Given that,

Initially

V = V and I = 120mA

Then, V' = 3V and I' =?

So,

V / I = V' / I'

V / 120 = 3V / I'

Cross multiply

V × I' = 120 × 3V

Divide both sides by V

I' = 120 × 3V / V

I' = 360mA

So, the current in the wire when the voltage was tripled is 360mA, the current was also tripled

If the voltage in a circuit is tripled while the resistance remains unchanged, according to Ohm's Law, the new current will be triple the original, resulting in a new current of 0.36 amps.

The question deals with electrical current in a circuit, and specifically what happens to the current if the voltage across the circuit is changed. According to Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R), I = V/R, the current in a circuit will increase if the voltage is increased and the resistance remains constant. Given that the original current is 120.0 milliamps, if the voltage is tripled and the resistance remains unchanged, the new current will be 120.0 mA x 3, which equals 360.0 milliamps or 0.36 amps.

It is the largest object.
(1 Point)
asteroid
comet
meteor

Answers

Meteor Hope it’s Correct :))))

To be Answered in Sentences...

1. How does the equivalent resistance of a series circuit compare to the resistance values of the individual resistances in the circuit?

2. In a series circuit, one of the resistors is replaced with a resistor having a lower resistance value. How does this affect the current in the circuit?

Answers

Answer:

1. The equivalent resistance for the combination of resistors in series is equal to the algebraic sum of all its individual resistances.

2. The Current will increase and causes it to have less restriction.

Explanation:

I did the Exam and made a 100% with these answers.

Hope this Helps!!!

Answer:

1. The parallel circuits can depend on more than that of of individual resistances can. You have only six resistors available, and all of the resistors have a value of 10.0

2. The equivalent resistance of a set of resistors in a series connection is equal to the algebraic sum of the individual resistances. Figure 10.3. 2: (a) Three resistors connected in series to a voltage source. (b) The original circuit is reduced to an equivalent resistance and a voltage source

Explanation:

Give one reason why the density of iron is higher than the density of oxygen

Answers

Answer:

Density of iron is higher than the density of oxygen because of difference in particles arrangement in a matter.

Density is an intensive property as it does not depend on the quantity of the substances Whereas mass and volume are extensive property. Therefore, because of differences in particle arrangement in a substance, the density of iron is greater than that of oxygen.

What is density?

Density tells about the compactness of the substances, how much dense is the substances in other words. Object that is more denser than water they just sink in the water.

Mathematically,

Density = Mass of the metal ball ÷volume marked on the graduated cylinder

Because of differences in particle arrangement in a substance, the density of iron is greater than that of oxygen.

Therefore, because of differences in particle arrangement in a substance, the density of iron is greater than that of oxygen.

To know more about density, here:

https://brainly.com/question/16894337

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