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

Answer:

a). Roger travel total a distance of 2070m

b). The average speed of the whole tip $V_{p}$0.16025$\frac{m}{s}$

Explanation:

$V= \frac{x}{t} = \frac{450m}{2 hr} * \frac{1 hr}{3600 s}  = \frac{450m}{7200 s}\\ V= \frac{450m}{7200s} =0.125 \\V= 0.0625 \frac{m}{s}$

a).

First trip 450m

Second trip :

$V=\frac{x}{t} \\x=V*t \\x= 15 \frac{cm}{s} *3 hr\\x= 15 (\frac{cm}{s}*\frac{1m}{100 cm}) * 3 hr (\frac{3600s}{1hr})\\  x=0.15 \frac{m}{s}  * 3600s\\x= 1620 m$

So final distance is

450m+1620m=2070m

b).

$V_{p} = \frac{0.15 \frac{m}{s}+0.0625 \frac{m}{s} }{2} =0.10625 \frac{m}{s}$

The average speed is $V_{p}$0.10625 $\frac{m}{s}$