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Paraphin [41]
2 years ago
12

Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on to

p of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?
Mathematics
1 answer:
Likurg_2 [28]2 years ago
7 0

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and y_{0} = 0.

For this problem, going down will be the positive reference.

Then:

y=y_{0}+v_{0}t+\frac{g}{2}t^{2}

\Delta y=v_{0}t+\frac{g}{2}t^{2}

121.92=\frac{9.8}{2}t^{2}

t=\sqrt{\frac{121.92*2}{9.8} }

t ≈ 5

<u>It will take </u><u>5s</u><u> for the candy corn bag to land on the ground.</u>

Acceleration is the change in velocity per change in time, so:

g=\frac{\Delta v}{\Delta t}

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

v = 49

<u>The bag will hit the ground with </u><u>velocity</u><u> of magnitude </u><u>49 m/s.</u>

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8 0
3 years ago
You push your younger sister on a swing one time and then allow your sister to
Ber [7]

Answer:

My sister will swing the total distance = 40 feet

Step-by-step explanation:

On the first swing my sister travels a distance of 8 feet.

In every successive swing she travels 80% of the distance of the previous distance.

So the sequence formed by the distance traveled in every swing will be a geometric sequence.

First term of the sequence 'a' = 8 feet

common ratio 'r' = 0.80

Since this sequence is an infinite geometric sequence,

Sum of this sequence = \frac{a}{(1-r)}  [Since r < 1]

                                     = \frac{8}{1-0.8}

                                     = \frac{8}{0.2}

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7 0
2 years ago
Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as
fenix001 [56]

Answer:

(a) MAE = 5.20

(b) MSE = 10

(c) MAPE = 38.60%

(d) Forecast for week 7 = 14

Step-by-step explanation:

Note: See the attached excel for the calculations of the Error, Error^2, and Error %.

(a) mean absolute error

MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20

(b) mean squared error

MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10

(c) mean absolute percentage error (Round your answer to two decimal places.)

MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%

(d) What is the forecast for week 7?

Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:

Forecast for week 7 = 14

Download xlsx
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2 years ago
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lisov135 [29]

Answer:

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Answer:

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