Calculating Minimum Stopping Distance for a Car: Solving for Vf^2 = Vo^2 + 2ad

• bullroar_86
In summary, acceleration is the rate of change of an object's velocity over time, measured in meters per second squared (m/s^2) in the metric system and feet per second squared (ft/s^2) in the imperial system. It is a vector quantity and can be calculated using the equation a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. To solve an acceleration problem, the given values for initial velocity, final velocity, and time must be identified and the appropriate formula used. Real-life examples of acceleration include a car accelerating or decelerating, a roller coaster going down a hill, a thrown ball, and a rocket launching into space
bullroar_86
1. Show that the minimum stopping distance for a car traveling at speed v is equal to v^2 / 2*coefficient of friction*g, where the coefficient of static friction is between tires and the road and g is acceleration due to gravity.

I can re-arrange the equation Vf^2 = Vo^2 + 2ad to look the same as the above equation, since a = *coefficient of friction*g

Is that all this question is asking for? seems like I'm missing something here

thanks.

Yep, sounds about right to me.

Unbelivebly,some problems are really that simple. I'm sure u'll get worse.

Daniel.

What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. In simpler terms, it measures how quickly an object is speeding up, slowing down, or changing direction.

What is the equation for acceleration?

The equation for acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. This is also known as the average acceleration equation.

How do you solve an acceleration problem?

To solve an acceleration problem, you need to identify the given values for initial velocity, final velocity, and time. Then, you can plug those values into the acceleration equation a = (vf - vi)/t and solve for the unknown variable. It is important to pay attention to units and use the correct formula for the situation (e.g. constant acceleration vs. changing acceleration).

What units are used to measure acceleration?

Acceleration is typically measured in meters per second squared (m/s^2) in the metric system and feet per second squared (ft/s^2) in the imperial system.

What are some real-life examples of acceleration?

Some real-life examples of acceleration include a car speeding up or slowing down, a roller coaster going down a hill, a ball being thrown into the air, and a rocket launching into space. Essentially, any time an object's velocity changes over time, there is acceleration involved.

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