Constant Acceleration Kinematics: Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of car A accelerates his car with a uniform forward acceleration of 2.40 m/s2. How long after car A begins to accelerate does it take car A to overtake car B?

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Answer:The taken is

Explanation:Frm the question we are told that

The speed of car A is

The speed of car B is

The distance of car B from A is

The acceleration of car A is

For A to overtake B

The distance traveled by car B = The distance traveled by car A – 300m

Now the this distance traveled by car B before it is overtaken by A is

Where is the time taken by car B

Now this can also be represented as using equation of motion as

Now substituting values

Equating the both d

substituting values

Solving this using quadratic formula we have that