Final Answer:
The car takes 22.4 seconds to travel 138 m, thus the correct option is B.
Explanation:
To calculate the time taken by the car to travel 138 m, the equation that needs to be used is t = d/v, where t represents time, d represents distance and v represents velocity. Since the car has an initial velocity of 8.80 m/s and an acceleration of 2.45 m/s², the velocity of the car will increase over time. This means that the velocity of the car will be different at different points in time. Thus, to calculate the time taken by the car to travel 138 m, the equation t = d/v must be used.
The equation can be manipulated in the following way: t = (d/v) + (a/2)(t²). Here, a is the acceleration of the car and t is the time taken by the car to travel the given distance. The equation can be solved for t by substituting the given values and solving for t. The resultant equation is: t = (138/8.8) + (2.45/2)(t²). Solving for t yields t = 22.4 seconds. Therefore, the car takes 22.4 seconds to travel 138 m.
The equation that was used to find the time taken by the car to travel 138 m can be used to calculate the time taken by the car to travel any distance. The equation can also be used to calculate the distance travelled by the car in a given amount of time.