# A red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at xr = 0 and the green car is at xg = 216 m. If the red car has a constant velocity of 27.0 km/h ?

Entire question

At time t = 0, the red car is at xr = 0 and the green car is at xg = 216 m. The two cars are moving toward each other in adjacent lanes and parallel to an x axis.

The cars pass each other at x = 44.2 m if the red car has a constant velocity of 27.0 km/h, and at x = 76.7 m if the red car has a constant velocity of 54.0 km/h.

What are the green car's (a) starting speed and (b) (constant) acceleration?

The time it takes for each car to travel its respective distances must now be calculated. To do this, convert the red car's velocities to meters per second.

additionally

The amount of time that elapses before the cars collide is

additionally

Now let's concentrate on the green car. In the initial instance, you have that

Similarly, in the second instance, you have that

Your two equations with two unknowns will be these.

Enter this into the second formula to obtain

This indicates that you've

The assumption that the green car and the red car are moving in opposite directions is supported by the negative indicators you obtained for the green car's starting velocity and acceleration.

The green car's acceleration and velocity must be negative if you assume that the red car's direction is positive.

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To find the time it takes for the two cars to meet, use the formula:

( \text{time} = \frac{\text{distance}}{\text{relative velocity}} )

The relative velocity is the sum of the velocities of the two cars since they are moving towards each other. Convert the velocity of the red car from km/h to m/s:

( 27.0 , \text{km/h} = \frac{27.0 \times 1000}{3600} , \text{m/s} )

Then, calculate the relative velocity:

( \text{relative velocity} = \text{velocity of red car} + \text{velocity of green car} )

Finally, plug the values into the formula to find the time it takes for the two cars to meet.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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