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3 years ago

7

Jason rides his bicycle 1,200 meters east to the grocery store. He then turns around and travels 760 meters west to meet his fri

end. What are his total distance and his displacement?

1 answer:

KiRa [710]3 years ago

6 0

Since displacement is a vector quantity, it depends on direction as well as magnitude.

Taking displacement towards east as positive and towards west as negative,
Total displacement = 1200 + (-760) = 440 meters.

Since distance is a scalar quantity, it depends only upon magnitude.
Total distance = 1200 + 760 = 1960 meters.

Hope this cleared your doubt, feel free to ask any questions regarding this and have a nice day ahead! :)

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(a) Neil A. Armstrong was the first person to walk on the moon. The distance between the earth and the moon is . Find the time i

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Answer:

a)<em> It took 1.28 seconds to Neil Armstrong's voice to reach the Earth via radio waves. </em>

b) <em>The minimum time that will be required for a message from Mars to reach the Earth via radio waves is 192 seconds. </em>

Explanation:

The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensitie. That radiation is formed by electromagnetic waves, which are transverse waves formed by an electric field and a magnetic field perpendicular to it.

The distribution of the radiation in the electromagnetic spectrum can also be given in wavelengths, but it is more frequent to work with it at frequencies:

Gamma rays

X-rays

Ultraviolet rays

Visible region

Infrared

Microwave

Radio waves.

Any radiation that belongs to electromagnetic spectrum has a speed in vacuum of $3x10^{8}m/s$ .

<em>a) Find the time it took for his voice to reach the Earth via radio waves.</em>

To know the time that took for Neil Armstrong's voice to reach the Earth via radio waves, the following equation can be used:

$c = \frac{d}{t}$ (1)

Where v is the speed of light, d is the distance and t is the time.

Notice that t can be isolated from equation 1.

$t = \frac{d}{c}$ (2)

The distance from the Earth to the Moon is $3.85x10^{8} m$ , therefore.

$t = \frac{3.85x10^{8} m}{3x10^{8}m/s}$

$t = 1.28s$

Hence, it took 1.28 seconds to Neil Armstrong's voice to reach the Earth via radio waves.

<em>b) Determine the minimum time that will be required for a message from Mars to reach the Earth via radio waves.</em>

The distance from the Earth to the Mars at its closest approach is $5.76x10^{10}m$ , therefore.

$t = \frac{5.76x10^{10}m}{3x10^{8}m/s}$

$t = 192s$

Hence, the minimum time that will be required for a message from Mars to reach the Earth via radio waves is 192 seconds.

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A race car starts from rest on a circular track of radius 378 m. The car's speed increases at the constant rate of 0.580 m/s2. A

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Answer:

a) $V=14.904m/s$

b) $d = 191.49 m$

c) $t= 25.696 s$

Explanation:

From the question we are told that:

Radius $r =378m$

Acceleration $a=0.580$

a)

Generally the equation for speed of the car is mathematically given by

$a=\frac{v^2}{r}$

$V=\sqrt{a*r}$

$V=\sqrt{0.58*383}$

$V=14.904m/s$

b)

Generally the equation for distance traveled of the car is mathematically given by

$V^2=u^2+2ad$

$d=\frac{V^2}{2a}$

$d=\frac{14.904^2}{2*0.58}$

$d = 191.49 m$

c)

Generally the equation for time of the car is mathematically given by

$V=u+at$

$t=\frac{V}{a}$

$t=\frac{14.904}{0.58}$

$t= 25.696 s$

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