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Licemer1 [7]
2 years ago
15

(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec

Mathematics
1 answer:
Yuliya22 [10]2 years ago
7 0

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

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HELPP!! Whats -8/9 divided by 2/3
galina1969 [7]

Answer:

-4/3

Step-by-step explanation:

You can also use mathpapa it's a calculator that gives you the answer and solves it for you step by step.

please mark me brainliest :)

5 0
2 years ago
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
Angles JHI and GJH are inscribed angles. We have that m∠JHI = b and m∠GJH = a by the . Angle JHI is an exterior angle of triangl
77julia77 [94]

Answer:

In order:

inscribed angle theorem

GJH

substitution

4 0
3 years ago
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How do you solve even number between 300 and 400 it is divisible by both 5 and 9 how you solve it
BigorU [14]
The correct answer would be 360. you go through the multiples of 5 and 9
6 0
3 years ago
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
Over [174]

Answer:

135

Step-by-step explanation:

135+45=180

5 0
3 years ago
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