Question

The koenigsegg gemera is currently the world's quickest production car - it can go from 0-60 mph (0-26.8 m/s) in 1.9 seconds. it's the very first 4-seater by koenigsegg and the world's first mega-gt that weighs 4,079 pounds. what was the acceleration? how far did it travel during that time?

a) 14.1 m/s², 25.4 meters
b) 15.4 m/s², 29.3 meters
c) 16.7 m/s², 32.2 meters
d) 18.0 m/s², 35.1 meters

Answer 1

The Koenigsegg Gemera accelerates from 0 to 26.8 m/s in 1.9 seconds, resulting in an acceleration of 14.1 m/s² and covering a distance of approximately 25.4 meters.

Step-by-step explanation:

The Koenigsegg Gemera accelerates from 0 to 60 mph (0-26.8 m/s) in 1.9 seconds. To find the acceleration, we use the formula a = Δv / t, where Δv is the change in velocity and t is the time taken. The change in velocity Δv is 26.8 m/s (since it starts from rest), and the time t is 1.9 seconds. Plugging these values into the formula gives us an acceleration of 14.1 m/s² (a = 26.8 m/s / 1.9 s). To find the distance traveled during this acceleration, we use the kinematic equation s = ut + (1/2)at², where s is the distance, u is the initial velocity (which is zero in this case), a is the acceleration, and t is the time. Plugging in the values gives us s = 0 + (1/2)(14.1 m/s²)(1.9 s)², which calculates to approximately 25.4 meters. Thus, the correct answer is (a) 14.1 m/s², 25.4 meters.