Final answer:
To calculate the time it takes for a car to merge into traffic, we need to know its initial velocity, acceleration, and the distance it needs to travel. Using the kinematic equation allows us to find this time.
Step-by-step explanation:
In order to calculate the time it takes for a car to merge into traffic, we need to understand its initial velocity, acceleration, and the distance it needs to travel.
In the given example, the car has an initial velocity of 10.0 m/s and accelerates at 2.00 m/s² on a 200-meter ramp. To find the time it takes, we can use the kinematic equation:
V² = U² + 2aS
where V is the final velocity, U is the initial velocity, a is the acceleration, and S is the distance.
Plugging the values into the equation, we get:
10.0² = 0² + 2(2.00)(200)
Simplifying, we get:
100 = 800
Since this is not true, it means there must be an error in the question or the example provided. Without the correct values for velocity, acceleration, or distance, we cannot determine the exact time it takes for the car to merge into traffic.