A Bugatti Veyron 16.4 can accelerate from 0 to 60 mi/h in 2.4 s. The Saleen S7 Twin Turbo goes "from 0 to 60" in 2.8 s. Determine the distance that the Bugatti Veyron would travel in the time it takes to reach 75 km/h, the speed limit on many Canadian roads. Compare your answer to the distance that the Saleen S7 Twin Turbo would travel while accelerating to the same final speed.

Question

A Bugatti Veyron 16.4 can accelerate from 0 to 60 mi/h in 2.4 s. The Saleen S7 Twin Turbo goes "from 0 to 60" in 2.8 s. Determine the distance that the Bugatti Veyron would travel in the time it takes to reach 75 km/h, the speed limit on many Canadian roads. Compare your answer to the distance that the Saleen S7 Twin Turbo would travel while accelerating to the same final speed.

Answer 1

Bug dv/dt = ab = 60 mi/h/2.4s = 25 mi/(s h)

= 40.2 km /(3600 s^2)

Sal dv/dt = as = 60/2.8 = 21.4 mi/(s h)
=34.4 km/3600s^2

v = 75 km/h = 75 km/3600s

then v = a t or t = v/a

Bug:
t = 75 km/3600 s / 40.2 km/3600s^2
= 1.87 seconds
d = (1/2) a t^2 =
OR
use half max (average) speed
Vaverage = 75/(2*3600 )km/s
d = 1.87 * 75/(2*3600) = .0195 km
= 19.5 meters
do the same for the other car

Answer 2

To determine the distance that the Bugatti Veyron would travel in the time it takes to reach 75 km/h, we need to convert the speed to the same unit as the acceleration. First, let's convert 75 km/h to m/s.

1 kilometer (km) is equal to 1000 meters (m), and 1 hour (h) is equal to 3600 seconds (s). Therefore, we have:

75 km/h = 75,000 m / 3600 s

Calculating this, we get:
75 km/h = 20.83 m/s

Now, to find the distance, we can use the formula:

distance = (acceleration * time^2) / 2

For the Bugatti Veyron, the acceleration is from 0 to 60 mi/h (which we will convert to m/s).

60 mi/h = 96.56 km/h = 96,560 m / 3600 s
60 mi/h = 26.82 m/s

Now, let's calculate the distance for the Bugatti Veyron:

distance = (26.82 m/s * (2.4 s)^2) / 2
distance = (26.82 m/s * 5.76 s^2) / 2
distance = 77.21 meters

Therefore, the Bugatti Veyron would travel approximately 77.21 meters to reach 75 km/h.

Now, let's find the distance that the Saleen S7 Twin Turbo would travel while accelerating to the same final speed.

Using the same conversion as before, let's find the acceleration of the Saleen S7 Twin Turbo:

2.8 s for 0 to 60 mi/h
2.8 s = 10.08 m/s

Now, let's calculate the distance for the Saleen S7 Twin Turbo:

distance = (10.08 m/s * (2.8 s)^2) / 2
distance = (10.08 m/s * 7.84 s^2) / 2
distance = 39.32 meters

Therefore, the Saleen S7 Twin Turbo would travel approximately 39.32 meters to reach the same final speed of 75 km/h.