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The precentege error in a measur - ment of mass and velocity are mesured
3% and
5% respectively than find
% error of
a) Momentum (
P=mv)
b) Kinetic energy
(K=(1)/(2)mv^(2))

The precentege error in a measur - ment of mass and velocity are mesured $3 \%$ and $5 \%$ respectively than find $\%$ error of $\newline$ a) Momentum ( $P=m v)$ $\newline$ b) Kinetic energy $\left(K=\frac{1}{2} m v^{2}\right)$

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Calculus

Relate position, velocity, speed, and acceleration using derivatives

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More problems from Relate position, velocity, speed, and acceleration using derivatives

Question

x=v_{\circ} t+\frac{1}{2} a t^{2}

\newline

The horizontal displacement,

x

, of an object with constant acceleration,

a

, initial velocity,

v_{\circ}

, at elapsed time,

t

, is given by the equation. Which of the following equations correctly shows the acceleration in terms of displacement, initial velocity, and time?

\newline

Choose

1

answer:

\newline

(A)

a=\frac{2 \sqrt{x-v_{\circ} t}}{t}

\newline

(B)

a=\frac{2\left(x-v_{0}\right)}{t}

\newline

(C)

a=\frac{2\left(x-v_{\circ} t\right)}{t^{2}}

\newline

(D)

a=\frac{2 x}{v_{0} t^{3}}

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Posted 7 months ago

Question

Herman is riding his hoverboard. The function

V

gives Herman's velocity (in meters per second),

t

seconds after he started riding.

\newline

What is the best interpretation for the following statement?

\newline

The value of the derivative of

V

t=5

is equal to

1

5

\newline

Choose

1

answer:

\newline

A) During the first

5

seconds, Herman's acceleration is

1

5

meters per second squared.

\newline

(B) After

5

seconds, Herman's acceleration is

1

5

meters per second squared.

\newline

5

seconds, Herman's velocity is

1

5

meters per second.

\newline

(D) After

5

seconds, Herman's acceleration is

1

5

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Posted 7 months ago

Question

A particle moves along the

x

-axis with velocity

v(t)=\frac{t^{2}}{\sin ^{2}(t)+2}

. The particle is at position

x=3

at time

t=2

\newline

What is the particle's position at time

t=7

\newline

Use a graphing calculator and round your answer to three decimal places.

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Posted 7 months ago

Question

A particle moves along the

x

-axis with velocity

v(t)=\cos \left(t^{2}-3 t\right)

\newline

What is the total distance the particle has traveled between the times

t=3

and

t=6

\newline

Use a graphing calculator and round your answer to three decimal places.

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Posted 7 months ago

Question

A particle moves along the

x

-axis with velocity

\newline

v(t)=\ln \left(t^{2}+5 t+1\right) \text {. }

\newline

What is the particle's displacement between the times

t=1

and

t=5

\newline

Use a graphing calculator and round your answer to three decimal places.

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Posted 7 months ago

Question

Below is the graph of a trigonometric function. It intersects its midline at

(\pi\tau, 2.75)

, and it has a maximum point at

(\frac{5}{4}\pi\tau, 6.75)

what is the amplitude of the function

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Posted 7 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$500

and her balance at the end of three years,

\$546.36

. At what rate

r

did Jeanne earn interest?

\newline

546.36 = 500(1 + r)

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Posted 1 month ago

Question

Jeanne's bank account earns interest annually. The equation shows her starting balance of

\$ 350

and her balance at the end of three years,

\$ 422.78

. At what rate r did Jeanne earn interest?

\newline

422.78=350(1+r)^{3}

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Posted 1 month ago

Question

A leaky

10\text{-kg}

bucket is lifted from the ground to a height of

14\, \text{m}

at a constant speed with a rope that weighs

0.6\, \text{kg/m}

. Initially the bucket contains

42\, \text{kg}

of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the

14\, \text{m}

level. How much work is done? (Use

9.8\, \text{m/s}^2

for

g

.) Show how to approximate the required work (in

\text{J}

) by a Riemann sum. (Let

x

be the height in meters above the ground. Enter

x_i^*

x_i

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Posted 1 month ago

View all (7)

The precentege error in a measur - ment of mass and velocity are mesured 3% 3 \% 3% and 5% 5 \% 5% respectively than find % \% % error of\newlinea) Momentum ( P=mv) P=m v) P=mv)\newlineb) Kinetic energy (K=12mv2) \left(K=\frac{1}{2} m v^{2}\right) (K=21​mv2)

The precentege error in a measur - ment of mass and velocity are mesured $3 \%$ and $5 \%$ respectively than find $\%$ error of $\newline$ a) Momentum ( $P=m v)$ $\newline$ b) Kinetic energy $\left(K=\frac{1}{2} m v^{2}\right)$