Question

You drive your car 2 km to the gas station, 4 km to the shopping mall to let your mother off, and 4.5 km back home. The trip takes 20 min. What is your velocity in m/s?

-9 m/s
+4 m/s
0 m/s
-3 m/s

Answer 1

The speed or velocity of the car for the total distance travelled in the given time is 8.75m/s

Given the data in the question

• Distance to gas station; $d_{gas} = 2000m$

• Distance to shopping mall; $d_{mall} = 4km = 4000m$

• Distance back home; $d_{home} = 4.5km = 4500m$

• Time taken for the whole trip; $t = 20min = 1200s$

First we calculate the total distance travelled

$d_{Total} = d_{gas}+ d_{mall} + d_{home}\\\\d_{Total} = 2000m + 4000m + 4500m\\\\d_{Total} = 10500m$

Now, we know that Speed is distance moved or travelled per unit time.

Speed = Distance / Time

$s = \frac{d}{s}$

Hence, Speed or Velocity for this problem will be; $s = \frac{d_{Total}}{t}$

We substitute in our given values to determine the velocity

$s = \frac{10500m}{1200s} \\\\s = 8.75 m/s$

Therefore, The speed or velocity of the car for the total distance travelled in the given time is 8.75m/s

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