Complete the statements using data from Table A of your Student Guide. The speed of the cart after 8 seconds of Low fan speed is cm/s. The speed of the cart after 3 seconds of Medium fan speed is cm/s. The speed of the cart after 6 seconds of High fan speed is cm/s.

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Answer:

8 seconds = 72cm

3 seconds = 36cm

6 seconds = 96cm

Explanation:

lab assignment i just took.

Speed is the rate of distance over time. The speed of the cart is as follows:

  • [tex]72cms^{-1}[/tex] at 8 seconds.
  • [tex]36cms^{-1}[/tex] at 3 seconds.
  • [tex]96cms^{-1}[/tex] at 6 seconds.

Let:

[tex]s \to[/tex] speed

[tex]d \to[/tex] distance

[tex]t \to[/tex] time

After 8 seconds

For low fan speed; the distance (d) at 8 seconds is:

[tex]d =576cm[/tex]

Speed (s) is calculated using:

[tex]s = \frac dt[/tex]

[tex]s = \frac{576cm}{8s}[/tex]

[tex]s = 72cms^{-1}[/tex]

Hence, the speed after 8 seconds is [tex]72cms^{-1}[/tex]

After 3 seconds

For medium fan speed; the distance (d) at 3 seconds is:

[tex]d = 108cm[/tex]

The speed (s) is :

[tex]s = \frac dt[/tex]

[tex]s = \frac{108cm}{3s}[/tex]

[tex]s = 36cms^{-1}[/tex]

Hence, the speed after 3 seconds is [tex]36cms^{-1}[/tex]

After 6 seconds

For high fan speed; the distance (d) at 6 seconds is:

[tex]d = 108cm[/tex]

The speed (s) is :

[tex]s = \frac dt[/tex]

[tex]s = \frac{576cm}{6s}[/tex]

[tex]s = 96cms^{-1}[/tex]

Hence, the speed at 6 seconds is [tex]96cms^{-1}[/tex]

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