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svp [43]
3 years ago
12

Crickets can jump with a vertical velocity of up to 14 ft/s. Which equation models the height of such a jump, in feet, after t s

econds​
Mathematics
2 answers:
Y_Kistochka [10]3 years ago
8 0

Answer:

h = 147 - 16t^2.

Step-by-step explanation:

Use the following equation of motion

h = ut + 1/2 gt^2    where  h = height, u = initial velocity , g = acceleration due to gravity and t = the time.

So here we have:

h = 14t + 1/2 * -32 * t^2

h = 14t - 16t^2

Reptile [31]3 years ago
4 0

Answer:

Height of jump, s(t) = 14t - 16.09t²

Step-by-step explanation:

We have equation of motion s = ut + 0.5 at².

For the this vertical motion we have

              s = height of jump

              u = initial velocity = 14 ft/s

               t = time

               a = acceleration due to gravity = -32.17 ft/s²

Substituting

                 s = 14 x t + 0.5 x (-32.17) x t²

                 s = 14t - 16.09t²

Height of jump, s(t) = 14t - 16.09t²

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podryga [215]

Answer: Choice B

(-2, 5)

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

Explanation:

The original system is

\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation  -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

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8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

Or

x-y = -7

-2-y = -7

-y = -7+2

y = -5

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Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

6 0
3 years ago
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
leva [86]

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Step-by-step explanation:

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3 0
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goblinko [34]

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Step-by-step explanation:

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Answer:

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