deiteresfp
2021-12-18
Answered

Use the position function $s\left(t\right)=-16{t}^{2}+{v}_{0}t+{s}_{0}$ for free-falling objects. A silver dollar is dropped from the top of a building that is 1362 feet tall. (a) Determine the position and velocity functions for the coin. (b) Determine the average velocity on the interval [1, 2]. (c) Find the instantaneous velocities when $t=1\text{}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}t=2$ . (d) Find the time required for the coin to reach ground level. (e) Find the velocity of the coin at impact.

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godsrvnt0706

Answered 2021-12-19
Author has **31** answers

Step 1

a) The position function:

in order to determine this equation we have to determine

the coin is dropped with no initial velocity (free falling object) so we conclude that

When

(these concepts are from physics!)

we conclude that: the position function

Step 2

a) the velocity function

Step 3

b) the average velocity

the average velocity

Step 4

c) the instantaneous velocity at 2 is v(2)

the instantaneous velocity at 1 is v(1)

Step 5

d) time required to the coin to reach the ground:

when coin reach the ground we have

so we must solve this equation to determine the time

Step 6

e) plug the time when the coin reaches the ground into the velocity equation:

Answer:

a)

b) the average velocity

c)

d)

e)

Elaine Verrett

Answered 2021-12-20
Author has **41** answers

Good grief, feet and inches and yards. That is an old textbook with

anyway

so a)

and of course acceleration

b) find out how far it moved in that one second and divide by one second

difference

c)

d) when will

e)

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a) What magnitude of force must u apply to hold the platform in this position?

b) How much additional work must you do to move the platform 0.200m farther, and what maximum force must you apply?

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The interest is $___.

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