Explanation:
The attached figure shows data for the cart speed, distance and time.
For low fan speed,
Distance, d = 500 cm
Time, t = 7.4 s
Average velocity,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{500}{7.4}\\\\v=67.56\ cm/s[/tex]
Acceleration,
[tex]a=\dfrac{v}{t}\\\\a=\dfrac{67.56}{7.4}\\\\a=9.12\ cm/s^2[/tex]
For medium fan speed,
Distance, d = 500 cm
Time, t = 6.4 s
Average velocity,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{500}{6.4}\\\\v=78.12\ cm/s[/tex]
Acceleration,
[tex]a=\dfrac{v}{t}\\\\a=\dfrac{78.12}{6.4}\\\\a=12.2\ cm/s^2[/tex]
For high fan speed,
Distance, d = 500 cm
Time, t = 5.6 s
Average velocity,
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{500}{5.6}\\\\v=89.28\ cm/s[/tex]
Acceleration,
[tex]a=\dfrac{v}{t}\\\\a=\dfrac{89.28}{5.6}\\\\a=15.94\ cm/s^2[/tex]
Hence, this is the required solution.