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3 years ago

17. A skydiver took 10 seconds to drop 500 feet. What is the rate of descent of the skydiver?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

8 0

Answer:

50 feet per second

Step-by-step explanation:

500 / 10 = 50

divide feet by seconds to find feet per second ratio

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Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

3 0

1 year ago

Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds

Schach [20]

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

7 0

2 years ago

Read 2 more answers

Solve the equation for all values of x by completing the square.<br> x2 + 21 = 10x

sashaice [31]

Answer:

oookkk

Step-by-step explanation:

oofookkjjjnnn

ooo6

3 0

2 years ago

5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is

Goshia [24]

Answer:

$P(Cheese) = 0.30$

Step-by-step explanation:

Given

$Cheese = 36$

$Pepperoni = 64$

$Veggie = 20$

Required

$P(Cheese)$

This is calculated as:

$P(Cheese) = \frac{Cheese}{Total}$

$P(Cheese) = \frac{36}{36+64+20}$

$P(Cheese) = \frac{36}{120}\\$

$P(Cheese) = 0.30$

7 0

2 years ago

A team of 3 QA testers and l QA team lead is working on a project. The team finishes

valina [46]

The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

<h3>What is average?</h3>

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,

The team lead salary:

$\rm x = \dfrac{1200+1200+1200+x}{4} + 600$

4x = 3600+ x+ 2400

3x = 6000

x = $2000

Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.

Learn more about the average here:

brainly.com/question/24057012

#SPJ1

6 0

1 year ago