A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the ground after 2.0 s. How high is the building, assuming negligible air resistance

Answers

Answer 1
Answer:

Use one of the equations of motion under constant acceleration:-

s = ut + 0.5at^2   where s = distance, u - initial velocity, a = acceleration ( in this case it is gravity = 9.81 m s^-2)  and t = time.

here we have s = 25*2 + 0.5*9.81 * 2^2

= 69.62 meters answer

Answer 2
Answer:

Answer: The height of the building is 69.6 m

Explanation:

To calculate the height of the building, we use second equation of motion:

s=ut+(1)/(2)at^2

where,

s = height of the building = ?

u = initial velocity of the ball = 25 m/s

a = acceleration due to gravity = 9.8m/s^2

t = time taken = 2.0 sec

Putting values in above equation, we get:

s=(25* 2.0)+(1)/(2)* 9.8* (2.0)^2\n\ns=69.6m

Hence, the height of the building is 69.6 m


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On a coordinate plane, the x-axis is labeled Number of Days and the y-axis is labeled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60). The graph shows a proportional relationship between the number of computers produced at a factory per day. In three days, 36 computers are produced; 48 computers are produced in 4 days; and 60 computers are produced in 5 days. Find the unit rate of computers per day using the graph. Unit rate: computers per day

Answers

The unit rate of computers per day is equal to 12 computers per day.

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

  • y represents the y-variable or total cost​.
  • x represents the x-variable or number of computers.
  • k is the constant of proportionality.

Next, we would determine the unit rate or constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 36/3 = 48/4 = 60/5

Constant of proportionality, k = 12.

Therefore, the required linear equation is given by;

y = kx

y = 12x

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Please help me ASAP ASAP ASAP

Answers

Answer:

d = 4√5

Step-by-step explanation:

d² = 8² + 4²

d² = 64 + 16

d² = 80

d =√80

d = √(16 * 5)

d = 4√5

Answer:

Step-by-step explanation:

hard to see graph ....

Evaluate the expression 2x2 - yl yl + 3xº for x = 4 and y = 7​

Answers

Answer:

replace the given values of x and y

Step-by-step explanation:

hope it helped!!!

An installation technician for a specialized communication system is dispatched to a city only when 3 or more orders have been placed. Suppose the orders follow a Poisson distribution with a mean of 0.25 per week for a city with a population of 100,000 and suppose your city contains 800,000.a. What is the probability that a technician is required after a one-week period?
b. If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched?

Answers

Answer:

0.3233

0.09

Step-by-step explanation:

Given that :

Mean, λ = 0.25 for a 100,000 per week

For a population of 800,000 :

λ = 800,000 / 100,000 * 0.25 = 8 * 0.25 = 2 orders per week

Probability that technician is required after one week ;

After one week, order is beyond 2 ; hence, order, x ≥ 3

P(x ≥ 3) = 1 - [p(x=0) + p(x= 1) + p(x =2)]

P(x ≥ 3) = 1 - e^-λ(1 + 2¹/1! + 2²/2!)

P(x ≥ 3) = 1 - e^-2(1+2+2) = 1 - e^-2*5 = 1 - e^-10

P(x ≥ 3) = 1 - e^-2 * 10

P(x ≥ 3) = 1 - 0.6766764

P(x ≥ 3) = 0.3233

B.)

Mean, λ for more than 2 weeks = 2 * 2 = 4

P(x < 2) = p(x = 0) + p(x = 1)

P(x < 2) = e^-4(0 + 4^1/1!)

P(x < 2) = e^-4(0 + 4) = e^-4(5)

P(x < 2) = e^-4(5) = 0.0183156 * 5 = 0.0915

P(x < 2) = 0.09

When is the function decreasing?A. (15, 40)
B. (30, 55)
C. (60, -40)
D. (40, 60)​

Answers

I believe it is C. (60, -40)