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4 years ago

Someone help me solve this please? I really need help . I appreciate if you do

Mathematics

1 answer:

inessss [21]4 years ago

6 0

Answer:

See below.

Step-by-step explanation:

R(s) is linear because for each equal change in x, there is an equal change in y. Each speed changes by 10 mph, and each Reaction distance changes by 22 ft. That shows a linear relation between speed and reaction distance.

B(s) is not linear since each time the speed changes by 10 mph, the Braking distance changes by a different amount.

Equation for Reaction distance:

Complete the table:

s = 10; R(10) = 22

s = 0; R(0) = 0

Slope = 22/10 = 2.2

R(s) = 2.2s

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A dog jumps straight up in the air to catch a ball and lands on the ground 1.3 s later. Let h(t) represent the dog’s height, in

slamgirl [31]

The given question have mistake. The correct question is written below.

Question:

A dog jumps straight up in the air to catch a ball and lands on the ground 6.37 s later. Let h(t) represent the dog’s height, in meters, t seconds after he leaves the ground. Which equation models the dog’s height for a given time t?

Answer:

Option B:

$h(t)=-4.9 t^{2}+6.37t$

Solution:

<u>General formula for the height of the projectile over time:</u>

(1) $h(t)=-16 t^{2}+v t+s$

Where h = height in feet, t = time, v = initial velocity and s = initial height (feet)

(2) $h(t)=-4.9 t^{2}+v t+s$

Where h = height in meters, t = time, v = initial velocity and s = initial height(meter)

Given initial velocity = 6.37 s and initial height is 0.

The height of the dog is in meters.

So, use second formula and substitute v = 6.37 and s = 0.

$h(t)=-4.9 t^{2}+v t+s$

$h(t)=-4.9 t^{2}+6.37t+0$

$h(t)=-4.9 t^{2}+6.37t$

Hence option B is the correct answer.

6 0

3 years ago

An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at

nirvana33 [79]

Answer:

$x=\dfrac{|-246.875-121.175|}{5}$

Step-by-step explanation:

Given that:

Same distance is drilled by the oil drilling company for 5 days.

Initial elevation = 121.175 feet

Final elevation = -246.875 feet

To find:

The equation to find the value of $x$ i.e. the distance drilled each day?

Solution:

To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.

Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.

Total distance drilled = | Final elevation - Initial elevation |

Total distance drilled = | -246.875 - 121.175 |

Therefore, we can write the expression as:

$x=\dfrac{|-246.875-121.175|}{5}$

$\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day$