Calculating Horse Speed: Average Acceleration

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To calculate the time it takes for a horse to decrease its velocity from 12 m/s to 7 m/s with an average acceleration of -1.79 m/s², the formula a_{average} = (V_f - V_i) / Δt can be applied. Rearranging this equation allows for solving Δt, which results in a time of approximately 2.8 seconds. The initial approach of adding the acceleration to the initial velocity multiple times is not the standard method for such calculations. Instead, using the formula directly provides a clearer and more accurate solution. Understanding the correct application of kinematic equations is essential for solving similar problems.
justin32089
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Homework Statement



Running with an initial velocity of 12 m/s, a horse has an average acceleration of -1.79 m/s^2

How long does it take for the horse to decrease its velocity to 7.0m/s ?

Homework Equations


The Attempt at a Solution


ok i got the answer is 2.8 seconds however i got there by adding -1.79 to 12 twice then figuing out the fraction of -1.79 needed to get the velocity down to 7.0.

i was wondering the correct way to do this as it has stumped me
thank you
Justin
 
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a_{average} = \frac{V_f - V_i}{\Delta t}
 
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