Calculate the average velocity of the cart for each fan speed. Round your answers to the nearest tenth.

The cart with Low fan speed has an average velocity of cm/s.

The cart with Medium fan speed has an average velocity of cm/s.

The cart with High fan speed has an average velocity of cm/s.

Calculate the average velocity of the cart for each fan speed Round your answers to the nearest tenth The cart with Low fan speed has an average velocity of cms class=

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Answer:

Answers in the explanation

Explanation:

The term speed is used to denote distance  traveled divided by time. This can be expressed in a mathematical language as follows:

[tex]v=\frac{d}{t} \\ \\ \\ v:speed \\ \\ d:distance \\ \\ t:time[/tex]

The cart with Low fan speed:

[tex]v=\frac{500}{7.4} \\ \\ v=67.5675cm/s \\ \\ Rounding \ to \ the \ nearest \ tenth: \\ \\ \boxed{v=67.6cm/s}[/tex]

The cart with Medium fan speed:

[tex]v=\frac{500}{6.4} \\ \\ v=78.125cm/s \\ \\ Rounding \ to \ the \ nearest \ tenth: \\ \\ \boxed{v=78.1cm/s}[/tex]

The cart with High fan speed:

[tex]v=\frac{500}{5.5} \\ \\ v=90.9090cm/s \\ \\ Rounding \ to \ the \ nearest \ tenth: \\ \\ \boxed{v=90.9cm/s}[/tex]

Explanation:

The cart with Low fan speed :

Elapsed time to finish line, t = 7.4 s

Total distance, d = 500 cm

Average speed,

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{500\ cm}{7.4\ s}[/tex]

v = 67.56 cm/s

or

v = 67.6 cm/s

The cart with Medium fan speed :

Elapsed time to finish line, t = 6.4 s

Total distance, d = 500 cm

Average speed,

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{500\ cm}{6.4\ s}[/tex]

v = 78.12 cm/s

v = 78.1 cm/s

The cart with High fan speed :

Elapsed time to finish line, t = 5.5 s

Total distance, d = 500 cm

Average speed,

[tex]v=\dfrac{d}{t}[/tex]

[tex]v=\dfrac{500\ cm}{5.5\ s}[/tex]

v = 90.90 cm/s

or

v = 90.9 cm/s

Hence, this is the required solution.