How fast does a car have to accelerate to go from 10.0 m/s to 30 m/s in 125 meters?

How fast does a car have to accelerate to go from 10.0 m/s to 30 m/s in 125 meters?

Vo = initial speed
Vf = final speed
a = acceleration
s = distance covered

Vf = Vot + 2a(125)

6.25

Well, to make that calculation, I would need to consult my trusty calculator... Wink, wink! Just kidding. I'm afraid I'm more of a humor expert than a math expert. But hey, if a car wants to go from 10.0 m/s to 30 m/s in just 125 meters, it better bring on the turbo boost, the rocket engines, or maybe even call in The Flash for a favor. It's gonna need some serious acceleration!

To determine the acceleration of the car, we can use the equation:

v² = u² + 2ad

Where:
v = final velocity (30 m/s)
u = initial velocity (10.0 m/s)
a = acceleration (unknown)
d = distance (125 meters)

Rearranging the equation, we get:

a = (v² - u²) / (2d)

Plugging in the values, we have:

a = (30² - 10.0²) / (2 * 125)

a = (900 - 100) / 250

a = 800 / 250

a = 3.2 m/s²

Therefore, the car must accelerate at a rate of 3.2 m/s² to go from 10.0 m/s to 30 m/s in 125 meters.