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 $v_{1} = - v_{2 - 1}$ , which means equal and opposite.

Step by step solution

Average velocity

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

$v = \frac{鈭� x}{鈭� t}$

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

Calculation

$Let x_{1} be the position of dodge viper at the time t_{1} Let x_{2} be the position of dodge viper at the time t_{2} Let x_{3} be the position of BMW at the time t_{1} Let x_{1} be the position of BMW viper at the time t_{2} S o, v_{1} 鈭� t = x_{2} - x_{1} v_{2} 鈭� t = x_{1} - x_{2} Therefore, we can write, v_{1} 鈭� t = - (x_{2} - x_{1}) v_{2} 鈭� t = v_{2} 鈭� t Thus, the average velocities of two cars are equal and opposite ., i . e, v_{1} = - v_{2} .$

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91影视

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

Step by step solution

Average velocity

Calculation

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