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klasskru [66]
3 years ago
10

For this exercise, use the position function s(t) = −4.9t2 + 250, which gives the height (in meters) of an object that has falle

n for t seconds from a height of 250 meters. The velocity at time t = a seconds is given by lim t→a s(a) − s(t) a − t . When will the object hit the ground? At what velocity, v, will the object impact the ground?
Physics
1 answer:
nignag [31]3 years ago
6 0

Answer:

t=7.14s

v=-69.972 m/s

Explanation:

Position function

s(t)=-4.9*t^{2}+250

Velocity is the derivative of position function

V(t)=\frac{dx}{dt}\\V(t)=-2*4.9*t\\V(t)=-9.8*t

The time the object hit the ground can be find by the given function know that the position is going to be 0m

s(t)=-4.9*t^{2}+250

s(t)=0\\0=-4.9*t^{2} +250\\t=\sqrt{\frac{250}{4.9}}\\t=7.14s

Check:

s(7.14)=-4.9*(7.14s)^{2}+250\\ s(7.14)=-250+250\\s(7.14)=0m

So the velocity can be find using the time discovery before and using the same function but with the derivate

V(t)=-2*4.9*t\\V(7.14)=-2*4.9*(7.14)\\V(7.14)=-69.972 \frac{m}{s}

The velocity is negative because the object is moving downward

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4 0
3 years ago
A car is brought to rest uniformly in 6 seconds. The initial velocity of the car was 24 m/s. How far does the car travel while d
pav-90 [236]

Answer:

v=u+at

24=0+at

24=a×6

a=4m/s

hence

s=ut+at^2÷2

s=36m

Explanation:

since the car is brought to rest the u=0

4 0
2 years ago
The density of molybdenum is 10.28 g/cm^3 and it crystallizes in the face centered cubic unit cell. Calculate the edge length of
Effectus [21]

The edge length of the unit cell at the given atomic mass and density of the molybdenum is 314.2 pm.

<h3>Volume of molybdenum</h3>

V = (zm/ρN)

where;

  • z is 2 for cubic unit cell
  • m is mass of the molybdenum
  • ρ is density of the molybdenum

V = (2 x 95.96) / (10.28 x 6.02 x 10²³)

V = 3.10 x 10⁻²³ cm³

<h3>Edge length of the unit cell</h3>

a³ = V

a = (V)^¹/₃

a = ( 3.10 x 10⁻²³)^¹/₃

a = 3.142 x 10⁻⁸ cm

a = 3.142 x 10⁻¹⁰ m

a = 314.2 x 10⁻¹² m

a = 314.2 pm

Thus, the edge length of the unit cell at the given atomic mass and density of the molybdenum is 314.2 pm.

Learn more about edge length here:

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A planet outside of our solar system
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Answer:

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4 0
3 years ago
3. If the distance of the screen is moved from 100. cm to 200. cm the area of light would in-crease from 150. cm^2 to
german

Answer:

3) C

4 D

5) C

Explanation:

3) given that

Initial distance of the screen = 100cm

Initial area = 150 cm^2

Final distance = 200 cm

The intensity of light is inversely proportional to the square of the distance. That is

Intensity of light I = 1/d2

And also I = P/A

1/d^2 = P/A

P = A/d^2

P1 = P2

150/100 = A/200

1.5 = A/200

A = 1.5 × 200

A = 300 cm^2

4.) Light is projected onto a screen 75.0 cm from a light source. The light intensity = 4436 lux

If the screen is moved from 75.0 cm to 150. cm, the light sensor reading will be

Using inverse square law

I = 1/d^2

I×d^2 = constant. Therefore,

4436 × 75^2 = I × 150^2

I = 24952500/22500

I = 1109 lux

5.) We can express the relationship between luminosity, brightness, and distance with a simple formula.

As we tilt the serene the area of light decreases and makes the light more concentrated.

5 0
3 years ago
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