Using the relation between velocity, distance and time, it is found that Sam's average speed for his total drive from Liverpool to Sheffield is of 52 km/h.
Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
From Liverpool to Manchester, he drove 56 km, with an average speed of 80 km/h, hence, the time, in hours, was of:
[tex]t = \frac{d}{v} = \frac{56}{80} = 0.7[/tex]
From Manchester to Sheffield, 61 km, considering a time, in hours, of [tex]\frac{93}{60} = 1.55[/tex]
Hence, for the entire trip(Liverpool to Sheffield), 56 km + 61 km in 0.7 + 1.55 hours, hence:
[tex]v = \frac{56 + 61}{0.7 + 1.55} = 52[/tex]
Sam's average speed for his total drive from Liverpool to Sheffield is of 52 km/h.
You can learn more about the relation between velocity, distance and time at https://brainly.com/question/24316569
