A stone is thrown straight up from the roof of an 80 ft building. the height, in feet, of the stone at any time t, in seconds, measured from the ground is given by ℎ(????) = −16???? 2 + 64???? + 80. what is the maximum height the stone reaches?

Answers

Answer 1
Answer:

Answer:

144 ft

Explanation:

h(t) = -16t² + 64t + 80

The maximum height is at the vertex.  We can find the vertex of a parabola using -b / (2a):

t = -64 / (2×-16)

t = 2

The vertex is at 2 seconds.  The height of the stone at this time is:

h(2) = -16(2)² + 64(2) + 80

h(2) = 144

The maximum height is 144 feet.


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In your own words, describe why melting ice with salt freezes cream. Compare your descriptions to your classmates and describe how you could change the setup to freeze the cream faster, to produce colder temperatures or to cool other substances.

Answers

By adding salt to the ice-creams, it lowers its melting point and allows the ice cream to freeze cohesively. When salt is added to ice, the equilibrium is reached and kept at lower temperature.

How salt lowers the freezing point of ice?

When water reaches  32°F ( 0°C ), It turns into ice.  At this temperature, The water molecules and ice molecules are interacting. If the temperature increases, more water become ice.

When the ionic compound salt is added, it lowers the freezing point of water. This concept is called "Freezing point depression". Freezing point depression is a drop in the minimum temperature at which  substance freezes, caused when a smaller amount of another, non-volatile substance.

When salt added to the ice, the freezing point reduces from zero to negative value of degree Celsius -9°C( 15°F ), The temperature of salt is too cold for the salt to dissolve into the ice.

Learn more about Freezing point :

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Answer:

Water normally freezes at 0°C (32°F). Salt lowers the freezing temperature. (That is, it can remain a liquid at much lower temperatures.)

When sprinkled on ice, the salt lowers the freezing temperature of the water which effectively melts the ice when the salt dissolves into it. There is a limit to how low it can reduce the temperature, though. If the temperature drops below -9°C (15°F), it's too cold for the salt to dissolve into the ice.

When making ice cream, the salt lowers the temperature of the ice and water sufficiently enough to freeze the cream.

A conducting coil of 1850 turns is connected to a galvanometer, and the total resistance of the circuit is 30 Ω. The area of each turn is 4.00 × 10-4 m2. This coil is moved from a region where the magnetic field is zero into a region where it is nonzero, the normal to the coil being kept parallel to the magnetic field. The amount of charge that is induced to flow around the circuit is measured to be 8.0 × 10-3 C. Find the magnitude of the magnetic field.

Answers

Answer:

0.324 T

Explanation:

Parameters given:

Number of turns, N = 1850

Resistance, R = 30Ω

Area of each turn, A = 4.00 * 10^(-4) m^2

Charge in the circuit, q = 8.0 * 10^(-3) C

The induced EMF in the coil is given as:

V = (-NBA)/(t)

EMF is also given in terms of current, I, and resistance, R, as:

V = IR = (-NBA)/(t)

=> I*R*t = -NBA

Charge, q, is the product of current and time. Hence:

It = q

=> q*R = -NBA

Hence, magnetic field, B, will be:

B = (qR)/(-NA)

B = (8 * 10^(-3) * 30)/(-1850 * 4 * 10^(-4)) \n\n\nB = -0.324 T

The magnitude of magnetic field, |B| will be |-0.324| = 0.324 T

An acorn with a mass of 0.0300 kilograms falls from a tree. What is its kinetic energy when it reaches a velocity of 5.00 m/s?

Answers

Kinetic energy = 1/2 (mass) x (speed squared).

KE = 1/2 (0.03) x (5 x 5) = 0.375 kilogram-meter squared / second squared = 0.375 Joule.

Can the normal force on an object be directed horizontally?

Answers

For this case, the first thing you should do is take into account the definition of normal force.

By definition, we have:

  • The normal force is that which is exerted on an object that is perpendicular to the surface.

If we define the coordinate system as:

  1. Horizontal axis points to the right
  2. Vertical axis points up

Then An object resting on a wall can have normal force in a horizontal direction.

Answer:

The normal force is perpendicular to the surface. The direction can be horizontal. Example: an object on a wall.

Which of the following countries was NOT an Axis power?A. Japan
B. Germany
C. Portugal
D. Italy

Answers

Portugal was not an axis power

If you walk with a speed of 2.0m/s for 2.0h how far would you travel

Answers

Answer:

14,400 meters

Explanation:

yes