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rewona [7]
1 year ago
9

An object travels back and forth along a straight line. its velocity, in centimeters per second, is given by the function v(t) =

equals 13 sine (startfraction pi over 45 endfraction t), where t is time in seconds. what is the maximum velocity of the object? 0 cm/s 13 cm/s 26 cm/s 90 cm/s
Physics
1 answer:
algol131 year ago
8 0

The correct option for the maximum velocity of the object is the option

13 cm/s.

<h3>What are Functions?</h3>

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

v(t) = 13. sin(π/45 . t)

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The maximum output value of the sine function = 1, therefore;

sin(π/45 . t) = 1

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

learn more about functions go to -

brainly.com/question/6561461

#SPJ4

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Which of the following would be used in luminosity calculations?
Daniel [21]

Answer:

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Explanation:

1) Luminosity is the <u>amount of light emitted</u> (measured in Joule) by an object in a unit of<u> time</u> (measured in seconds). Hence in SI units luminosity is expressed as joules per second (\frac{J}{s}), which is equal to Watts (W).

This amount of light emitted is also called radiated electromagnetic power, and when this is measured in relation with time, the result is also called radiant power emitted by a light-emitting object.

Therefore, if we want to calculate luminosity the Joule as a unit will be used.

2) Work W is expressed as force  F multiplied by the distane  d :

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Where force has units of  kgm/s^{2} and distance units of m.

If we input the units we will have:

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3) The formula to calculate the percent error is:

\% error=\frac{|V_{exp}-V_{acc}|}{V_{acc}} 100\%

Where:

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V_{acc}=6.67 (10)^{-11} Nm^{2}/kg^{2} is the accepted value

\% error=\frac{|7.34 (10)^{-11} Nm^{2}/kg^{2}-6.67 (10)^{-11} Nm^{2}/kg^{2}|}{6.67 (10)^{-11} Nm^{2}/kg^{2}} 100\%

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8 0
3 years ago
motorcycle accelerates from rest to a final velocity of 27 m/s in 9 seconds. What is its acceleration?
Vedmedyk [2.9K]

Answer:

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Explanation:

The formula you use is Vf= Vi + at. You rearrange it to a= Vf - Vi/t. The Vf is 27m/s. The Vi is 0m/s and the t is 9s. Cross out Vi since it’s zero and you’re left with a= 27m/s divided by 9s, which equals 3

5 0
2 years ago
A mass of M-kg rests on a frictionless ramp inclined at 30°. A string with a linear mass density of μ=0.025" kg/m" is attached t
I am Lyosha [343]

Answer:

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Explanation:

a) Draw a free body diagram of the mass M.  There are three forces:

Weight force mg pulling down,

Normal force N pushing perpendicular to the ramp,

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Draw a free body diagram of the hanging mass m.  There are two forces:

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and tension force T pulling up.

Sum of forces in the vertical direction:

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T − mg = 0

T = mg

Substitute:

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v = √(T / μ)

T = mg, and m = 5 kg, so T = (5 kg) (9.8 m/s²) = 49 N.  Therefore:

v = √(49 N / 0.025 kg/m)

v = 44.3 m/s

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Explanation:

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