Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.

Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

Step-by-step explanation:

We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.

Then we can write:

a(t) = -32 ft/s^2

Where the negative sign is because this acceleration is downwards.

Now, to get the vertical velocity of the object, we need to integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.

In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:

v(t) = (-32 ft/s^2)*t + 57.4 ft/s

To get the position equation we need to integrate over time again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0

Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.

then the position equation (that is the function that represents the height of the object as a function over time) is:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t

p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t

How you Can find the area of a composite figure?​

One less than five times a number is fewer
than twenty-four.

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A.
x equals 136 over 15 and y equals 17 over 15
B.
x equals 64 over 15 and y equals 17 over 15
C.
x equals 8 over 15 and y equals 136 over 15
D.
x equals 64 over 15 and y equals 136 over 15

What is the value of tan(60°)?
A
12
30°
B
60°
14

Please help clarify answer and step by step explanation

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The bat costs one dollar more than the ball.

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s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s

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On Friday, a local restaurant served 150 customers. Of these, 114

people ordered soup. What percent of the customers ordered soup?


A: 13%

B: 66%

C: 34%

D: 76%

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Which of the following relative frequencies match the expected probability?

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Definition of equilateral triangle

In the function y= 1/3x^2,
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Brianliest for correct answer

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yoo someone help asaapp!​

Chelsea went ice-skating. The ice, her skates, the Zamboni, and the rink building itself were all examples of solids she encountered. She developed a model of the particles in the ice. Which of these statements about the particles present in her model of a solid are true? Choose the three statements that apply.
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Graph the line with the equation y = 22 - 2.
y
10
9
8
7
6
5
4
3
2
-10 -9
-8
-7 -6
-5
-4
-3
-2
-
1
2
3
4
5 6
7
8
9 10
-1

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PLSSSSSSSSSSS

Is 3 a factor of 24s - 167
yes
no

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SOMEONE DO THESE QUESTIONS FOR ME ASAP!! - GIVING BRAINLIEST