Question

Roger the turtle moved 450 m in 2 hours the first day and the next day he moved in a straight line at a steady speed of 15 cm/s for 3 h. a) How far did Roger travel total? b) What was his average speed for the whole trip ?

Answer 1

a). Roger travel total a distance of 2070m

b). The average speed of the whole tip
`V_(p)`0.16025
`(m)/(s)`

Step-by-step explanation:

`V= (x)/(t) = (450m)/(2 hr) * (1 hr)/(3600 s)  = (450m)/(7200 s)\\ V= (450m)/(7200s) =0.125 \\V= 0.0625 (m)/(s) \\`

a).

First trip 450m

Second trip :

`V=(x)/(t) \\x=V*t \\x= 15 (cm)/(s) *3 hr\\x= 15 ((cm)/(s)*(1m)/(100 cm)) * 3 hr ((3600s)/(1hr))\\  x=0.15 (m)/(s)  * 3600s\\x= 1620 m`

So final distance is

450m+1620m=2070m

b).

`V_(p) = (0.15 (m)/(s)+0.0625 (m)/(s) )/(2) =0.10625 (m)/(s)`

The average speed is
`V_(p)`0.10625
`(m)/(s)`