in heavy rush-hour traffic you drive in a straight line at 12 m/sm/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally you drive at 15 m/sm/s for another 2.5 minutes.

Sagot :

The average velocity of the  journey is determined as 7.4 m/s.

What is average velocity?

The average velocity of an object is the change in displacement of an object with time.

We will analyze the three stage motion as follows;

1. first stage

speed,  v = 12 m / s, t = 1.5 min = 90 s

the distance traveled, s = v x t

s= 12 x 90

s = 1080 m

2. second stage

stop (v = 0) so that s = 0 and t = 3.5 min = 210 s

3. third stage

move with v = 15 m / s and t = 2.5 min = 150 s

the distance traveled, s = v x t

s = 15 x 150

s = 2250 m

Total displacement = 2250 + 1080 = 3330  m

average velocity  = total displacement  / time taken

average velocity = 3330/450

average velocity = 7.4 m / s

Thus, the average velocity of the  journey is determined as 7.4 m/s.

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The complete question is below:

Find the average velocity of the drive at the given time.