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Chapter 1: Q 7DQ (page 1)

When a Dodge Viper is at Elwood鈥檚 Car Wash, a BMW Z3 is at Elm and Main. Later, when the Dodge reaches Elm and Main, the BMW reaches Elwood鈥檚 Car Wash. How are the cars鈥� average velocities between these two times related?

Short Answer

Expert verified

The relation between the average velocities of two cars is as v1-v2., which means equal and opposite.

Step by step solution

01

 Average velocity

Average velocity refers to the object's speed by which is moving is within a definite interval of time.

v=鈭�x鈭�t

Here, v is the average velocity 鈭�x is the displacement in the time interval 鈭�t.

02

 Calculation

Let x1be the position of dodge viper at the time t1

Let x2be the position of dodge viper at the time t2

Let x2be the position of BMW at the time t1

Let x1be the position of BMW viper at the time t2

So,

v1=鈭�t-x2-x1

v1鈭�t=x1-x2

Therefore, we can write,

localid="1663869145233">v1鈭�t=-x2-x1

v1鈭�t=-v2鈭�t

Thus, the average velocities of two cars are equal and opposite., i.e,v1=-v2

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