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Mazyrski [523]
3 years ago
7

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in

feet after t second. What is the maximum height of the rock?
Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t^2 + 84t gives the rock's height in feet after t second.

We need to find the maximum height of the rock. For maximum height put \dfrac{dh}{dt}=0

So,

\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s

Put t = 2.62 s in the equation of height. So,

h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m

So, the maximum height of the rock is 110.24 m.

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2 years ago
The sum of two consecutive integers is 345. What are the integers? need help with it
horrorfan [7]

Answer:

hi there ☺️

Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 345

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

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3X + 3 - 3 = 345 - 3

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Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.

114 + 115 + 116 = 345

We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.

Step-by-step explanation:

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