# The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a function of the time t, in seconds, the ball is in the air and is given byh(t)=-16t^2+80t+4, 0 < t < 5.04a. Find the height of the ball above the ground 2 seconds after it is released.b. Find the height of the ball above the ground 4 seconds after it is released.Please show work!

The height of the ball from the ground as a function of time is given by

The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as

Part a)

Height of ball after 2 seconds it is released is

Part b)

Height of ball after 4 seconds it is released is

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16\times 2^2+80\times 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16\times 4^2+80\times 4+4=68feet

Step-by-step explanation:

## Related Questions

define the null and alternative null hypothesis for the following. also, explain what it would mean to make a type 1 error and explain what it would mean to make a type 2 error. the newspaper in a certain city had a circulation of 15,000 per day in 2010. you believe that the newspaper circulation is more than 15,000 today

(A)

Null hypothesis: Newspaper circulation in the city per day was = 15,000 in 2010

(B)

Alternative hypothesis: Newspaper circulation in the city today is > 15,000

(C)

Type 1 Error: This is the rejection of a true null hypothesis. It is the acceptance of the alternative hypothesis when the null hypothesis is true.

(D)

Type 2 Error: This is the non-rejection of a false null hypothesis. It is the acceptance of a null hypothesis when it is false.

Step-by-step explanation:

In statistical theory, the complete absence of any of these errors is virtually impossible.

The sum of two rational numbers is (A: Rational) (B: Irrational)
number.

The sum of a rational number and an irrational number is
an (A:a rational) or (B: a irrational)
number.

~~~ZoomZoom44~~~~

Its B

Step-by-step explanation:

Given the statement, TSR: ABC and the diagramof the right triangle TSR, determine the
approximate length of BC

5+5 x 8 dodn yes ok ok i agree

Using substitution, what is the first step to solve: x=6y+3 and x+2y=5.​

Step-by-step explanation:

Remark

You could do it a very convoluted way or you could do it simply. The simple way, I think, is the one intended. The x on the second equation is sitting by it itself. So is it in the first equation. Put the x from the first equation into the second.

Solution

x=6y+3 ===> x+2y=5.​

6y + 3 + 2y = 5                        First Step

8y + 3 = 5                                Subtract 3 from both sides

8y = 5 - 3                                 Combine

8y = 2                                       Divide by 8

y = 2/8

y = 1/4

============================

x = 6y + 3

x = 6*(1/4) + 3

x = 6/4 + 3

x = 1.5 + 3

x = 4.5

Solution (4.5 , 0.25)

x= 9/2 y=1,4

Step-by-step explanation:

Hope this helped you! :)

6. Find the value of the expression.
40 = 8 x 9

72

Step-by-step explanation:

72 I KNOW THIS bye thanks

In a sample of 49 adolescents who served as the subjects in an immunologic study, one variable of interest was the diameter of a skin test reaction to an allergen. The sample mean and standard deviation were 21 and 11 mm erythema, respectively. a. Use a z- or t-distribution? Why?

b. One-sided or two-sided test? Why?

c. Can it be concluded from these data that the population mean is less than 24 mm erythema?

d. What is the range on the p-value?

Step-by-step explanation:

a) We would use a t distribution because the population standard deviation is unknown.

b) it is a one sided test because we are trying to determine if the population mean is less than 24 mm erythema. The lesser than means that it is a left tailed test.

c) To determine the p value, we would apply the formula,

t = (x - µ)/(s/√n)

Where

x = sample mean = 21

µ = population mean = 24

s = samples standard deviation = 11

n = number of samples = 49

t = (21 - 24)/(11/√49) = - 1.91

Since n = 49

Degrees of freedom, df = n - 1 = 49 - 1 = 48

We would determine the p value using the t test calculator. It becomes

p = 0.031

Assuming alpha = 0.05, then

Since alpha, 0.05 > than the p value, 0.031, then we would reject the null hypothesis. Therefore, At a 5% level of significance, it can be concluded from these data that the population mean is less than 24 mm erythema.

d) p value = 0.031