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Ilya [14]
3 years ago
13

Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velo

city of the ball after 3 seconds. SOLUTION Through experiments carried out four centuries ago, Galileo discovered that the distance fallen by any freely falling body is proportional to the square of the time it has been falling. (This model for free fall neglects air resistance.) If the distance fallen after t seconds is denoted by s(t) and measured in meters, then Galileo's law is expressed by the equation s(t) = 4.9t2. The difficulty in finding the velocity after 3 s is that we are dealing with a single instant of time (t = 3), so no time interval is involved. However, we can approximate the desired quantity by computing the average velocity over the brief time interval of a tenth of a second from t = 3 to t = 3.1: average velocity = change in position time elapsed = s(3.1) − s(3) 0.1 = 4.9 2 − 4.9 2 0.1 = m/s. The table shows the results of similar calculations of the average velocity over successively smaller time periods. It appears that as we shorten the time period, the average velocity is becoming closer to m/s (rounded to one decimal place). The instantaneous velocity when t = 3 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t = 3. Thus the (instantaneous) velocity after 3 s is the following. (Round your answer to one decimal place.) v = m/s
Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

1350

Step-by-step explanation:

460 X 3

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For what value of x is the rational expression below undefined x-4/3x2-75
abruzzese [7]

The given expression is undefined when x = 5 OR x = -5

<h3>Undefined expression </h3>

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

Learn more on Undefined expression here: brainly.com/question/19815575

#SPJ1

7 0
2 years ago
The ratio of boys to girls who play soccer in Mr. Fraser’s class is 14:6. If there were 400students in the school, how many boys
ollegr [7]

Answer:

280

Step-by-step explanation:

Set up a ratio to solve.

Mr. Fraser's class has 20 soccer playing students, and 14 are boys.

14/20 = x/400

Cross multiply. 20x= 5600

Divide by 20 to solve

x= 280

5 0
2 years ago
NEED HELP please!! 30 points!!!
nikitadnepr [17]

Answer: What are you asking ?

Step-by-step explanation:

8 0
3 years ago
Write a two column proof
atroni [7]

Answer:

Step-by-step explanation:

Given:

TU ≅ WU

∠T ≅ ∠W

To Prove:

\overline{TS} \cong \overline{WV}

Proof:

In  Δ TUS and Δ  WUV

STATEMENT                                                 REASON

1. TU ≅ WU                                     1. Given

2. ∠T ≅ ∠W                                    2. Given

3.∠TUS ≅ ∠WUV                           3. Vertically Opposite Angles are equal

4. ΔTUS  ≅ ΔWUV                         4. Angle-Side-Angle congruence test.

5. ∴ TS ≅  WV                                 5. Corresponding parts of congruent triangles.

\overline{TS} \cong \overline{WV}.......Proved

3 0
3 years ago
7.385 rounded to the nearest tenth
Lana71 [14]

Answer:

10 lol..................

3 0
3 years ago
Read 2 more answers
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