Question

How long does it take an automobile trav- eling 66.0 km/h to become even with a car that is traveling in another lane at 56.0 km/h if the cars' front bumpers are initially 142 m apart? Answer in units of s.

Answer 1

The trailing car takes 355 seconds to become even with the leading car.

Step-by-step explanation:

To determine how long it takes for the two cars to become even, we need to find the time it takes for the trailing car to cover the initial distance between them.

First, we convert the speeds from km/h to m/s:

Leading car speed = 6.00 m/s

Trailing car speed = 5.60 m/s

Next, we calculate the time using the formula:

Time = Distance / Relative velocity

Distance = 142 m

Relative velocity = Leading car speed - Trailing car speed = 6.00 m/s - 5.60 m/s = 0.40 m/s

Plugging in the values, we get:

Time = 142 m / 0.40 m/s = 355 seconds

Therefore, it takes the trailing car 355 seconds to become even with the leading car.

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