Suppose that as an object falls from the top of a cliff, its position in feet above the ground after t seconds is given by s(t) = 160-16t^2. Find the average velocity from t=1to t=1+h seconds, where h not= 0.

a.32+16h

b.-32-16h

c.32-16h

d.-32+16h

Answers

Answer 1
Final answer:

The average velocity of the object can be found by calculating the change in position divided by the change in time.

Explanation:

The average velocity of the object from t=1 to t=1+h seconds can be found by calculating the change in position divided by the change in time.

To find the change in position, subtract s(1) from s(1+h):

s(1+h) - s(1) = (160-16(1+h)^2) - (160-16(1)^2)

simplifying gives: -16h - 16h^2

To find the change in time, subtract 1 from 1+h: 1+h - 1 = h

So, the average velocity is:

-16h - 16h^2 / h = -16 - 16h

Therefore, the correct answer is d. -32 + 16h.


Related Questions

Which is not true of the Intertropical Convergence Zone?A) It features heavy precipitation B) It's where the trade winds collideC) It's a high-pressure zone with sinking air D) It is also known as the doldrums

Answers

Answer: C) It's a high-pressure zone with sinking air

Explanation:

The intertropical convergence zone is the region of the terrestrial globe where the trade winds of the northern hemisphere converge with those of the southern hemisphere.  

It is characterized by being a belt of low pressure and inconsistent location around the equator constituted by ascending air currents, where large masses of warm and humid air converge from the north and south of the intertropical zone.  

The reason of its inconsistent location is due to the movements of the Earth with the seasons, having as a consequence the amount variation of heat energy from the sun in this region.

Object A has a length of 3 cm, a width of 2 cm, and a height of 4 cm. Object B is dropped into a graduated cylinder. It displaces 19 mL of water. The volume of object A is:

A: greater than the volume of object B
B: less than the volume of object B
C: equal to the volume of object B

Answers

Answer:

  A:  greater than the volume of object B

Explanation:

Based on the dimensions, the volume of object A is ...

  (3 cm)(2 cm)(4 cm) = 24 cm³ = 24 mL

If object B displaces 19 mL of water, we presume that is its volume. Since 24 mL is more than 19 mL, we conclude ...

  The volume of object A is greater than the volume of object B.

_____

Comment on density

We have presumed that object B is completely submerged. If it is not, then the relative volumes will depend on the densities. If the density of object B is less than about (19/24) g/mL, its volume may very well be larger than that of object A.

Answer:

 A:  greater than the volume of object B

Explanation:

Based on the dimensions, the volume of object A is ...

 (3 cm)(2 cm)(4 cm) = 24 cm³ = 24 mL

If object B displaces 19 mL of water, we presume that is its volume. Since 24 mL is more than 19 mL, we conclude ...

 The volume of object A is greater than the volume of object B.

_____

Comment on density

We have presumed that object B is completely submerged. If it is not, then the relative volumes will depend on the densities. If the density of object B is less than about (19/24) g/mL, its volume may very well be larger than that of object A.

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