Respuesta :
If you double your driving speed, then the stopping distance will be four times the original.
What is the equation of motion?
Equations of motion are equations that describe a physical system's behavior in terms of its motion as a function of time. Equations of motion, The three equations of the motion are,
- v - u = at
- S = ut + 0.5(at²)
- v² - u² = 2as
where
S is the distance,
u is the initial velocity,
v is the final velocity,
t is the time,
a is the acceleration.
Given that the car is traveling at a speed and is needed to be stopped, therefore, the car will deaccelerate. Also, the final velocity of the car will become 0. Therefore, we can write,
v² - u² = 2as
Substitute the values,
- Final velocity, v = 0
- Initial velocity, u = u
- Distance covered, s = s₁
- Acceleration, a = -a
Therefore, we can write,
v² - u² = 2as₁
(0)² - u² = 2(-a)s₁
-u² = -2as₁
u² = 2as₁
s₁ = u² / 2a
Now, if you double your driving speed. Therefore, we can write,
v² - u² = 2as
Substitute the values,
- Final velocity, v = 0
- Initial velocity, u = 2u
- Distance covered, s = s₂
- Acceleration, a = -a
Therefore, we can write,
v² - u² = 2as₂
(0)² - (2u)² = 2(-a)s₂
-4u² = -2as₂
4u² = 2as₂
s₂ = 4u² / 2a
Since u²/2a is equal to s₁, therefore, we can write,
s₂ = 4(u² / 2a)
s₂ = 4(s₁)
Hence, if you double your driving speed, then the stopping distance will be four times the original.
Learn more about the Equation of Motion here:
https://brainly.com/question/15080570
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