Final answer:
To find the acceleration of the Lamborghini Aventador, the final velocity must first be converted to m/s, resulting in approximately 26.82 m/s. Using the formula for acceleration (a = (v - u) / t), the acceleration is calculated to be approximately 9.25 m/s². The closest given option is B) 10.23 m/s².
Step-by-step explanation:
The question asks us to calculate the acceleration of a Lamborghini Aventador as it accelerates from 0 to 96.56 km/hr (equivalent to 60 mph) in 2.9 seconds. To convert the speed to meters per second (m/s), we use the conversion factor that 1 km/hr is approximately 0.27778 m/s. Therefore, 96.56 km/hr is equal to 96.56 × 0.27778 m/s, which is approximately 26.82 m/s.
To find the acceleration a, we use the formula a = (v - u) / t, where v is the final velocity, u is the initial velocity (0 m/s in this case, since the car starts from rest), and t is the time taken. Plugging in the values, we have a = (26.82 m/s - 0 m/s) / 2.9 s, which gives us an acceleration of approximately 9.25 m/s².
Since this value is not exactly one of the options provided, we must carefully check the calculations and rounding. However, since the choices are significantly different from each other, the closest answer to our calculation is option B) 10.23 m/s².