Question

Using a pedometer, you walk 3000 steps in 20 minutes, so your speed is 150 steps/min. Each of your steps is 0.7 m long. What is your speed?

150 steps/min=______m/s=______km/h

Answer 1

Answer:

150 steps/min=1.75 m/s=6.36 km/h

Explanation:

First of all, we need to convert 3000 steps into meters and 20 min into seconds. We know that

1 step = 0.7 m

1 min = 60 s

so,

$d = 3000 step \cdot \frac{0.7 m}{step}=2100 m$

$t = 20 min \cdot \frac{60 s}{min}=1200s$

So, the speed is

$v=\frac{d}{t}=\frac{2100 m}{1200 s}=1.75 m/s$

Now we need to convert into km/h. We know that:

$1 km = 1000 m\\1 h = 3600 s$

So, we have

$d=2100 m \frac{1}{1000 m/km}=2.1 km$

$t=1200 s \frac{1}{3600 s/h}=0.33 h$

So, the velocity is

$v=\frac{d}{t}=\frac{2.1 km}{0.33 h}=6.36 km/h$

Answer 2

The speed of the journey in meter per second is 1.75 m/s.

The speed of the journey in kilometer per hour is 6.3 km/h.

What is speed?

The speed of an object is the rate of change in distance with time. Your speed during the walk is calculated as follows;

Rate of your movement = 3000/20

Rate of your movement = 150 steps/min

Convert the speed in steps per minute to meter per minute

v = 150 step/min x 0.7 m/step

v = 105 m/min

Speed in meter per second (m/s)

v = 105 m/min x 1min/60 s

v = 1.75 m/s

Speed in kilometer per hour

v = 1.75 m/s x (1 km/1000 m) x (3600 s)/(1 hr)

v = 6.3 km/h

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