VIDEO: Calculate braking acceleration correctly

Requirements for calculating the braking acceleration

The braking acceleration can be calculated by you for bodies whose speeds change and thus perform an accelerated movement.

• You can use the formula a = v / t or s = a / 2 to calculate the evenly accelerated movement from rest _* t² determine.
• Note that the variable a stands for the acceleration and is in ms^-2 is specified, t is the time in seconds and s is the distance covered in meters.
• The term deceleration has been introduced for braking acceleration, otherwise it is negative Counting would have to expect. The variable for the delay is a '.

How to calculate the delay

1. Use the formulas a = v / t and s = a / 2 to calculate the braking acceleration _* t².


Set up equations of motion - this is how it works

Equations of motion for masses or bodies are a task from ...

2. Solve both formulas for the calculation of the braking acceleration on t. You get t = v / a and t = the square root of 2s / a.
3. Put both of you Equations equal, i.e. v / a = root of 2s / a.
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4. Square the equation to get the formula for calculating braking acceleration. The intermediate result is v² / a² = 2s / a.
5. Solve the equation for a. You can now calculate the braking acceleration with the formula a '= v² Calculate / 2s.
6. Use this example to practice calculating the braking acceleration: Which braking acceleration must the Bringing a car to a stop if it comes to a stop after 15 m at a speed of 50 km / h can be?
7. Note that v = 50 km / h. Convert km / to m / s by typing 50 _* Calculate 1000m / 3600 s. You get 13.9 m / s.
8. Your solution for calculating the braking acceleration: a '= v² / 2s = (13.9 m / s)² / 30 m = 6.43 m^-2.