Final answer:
The acceleration of the Lamborghini Aventador when it accelerates from 0 to 96.56 km/hr in 2.9 seconds is 9.25 m/s², which is not among the given options. Therefore, none of the given options (a) 28.7 m/s², (b) 9.8 m/s², (c) 16.7 m/s², or (d) 34.2 m/s² is correct. The right acceleration is 9.25 m/s².
Step-by-step explanation:
Acceleration of the Lamborghini Aventador
To calculate the acceleration of the Lamborghini Aventador when it goes from 0 to 96.56 km/hr in 2.9 seconds, you'll need to convert the speeds into meters per second. One kilometer per hour is about 0.277778 meters per second. So, 96.56 km/hr is equal to 96.56 × 0.277778 = 26.822 m/s.
Acceleration is defined as the change in velocity over time. The formula to find acceleration (a) is:
a = Δv / Δt
Where Δv is the change in velocity and Δt is the change in time. The Lamborghini Aventador starts from rest, meaning its initial velocity (v₀) is 0 m/s and it accelerates to 26.822 m/s in 2.9 seconds.
So, the acceleration can be calculated as:
a = (26.822 m/s - 0 m/s) / 2.9 s
a = 9.25 m/s²
Therefore, none of the given options (a) 28.7 m/s², (b) 9.8 m/s², (c) 16.7 m/s², or (d) 34.2 m/s² is correct. The right acceleration is 9.25 m/s².