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A horse, running at a velocity of 18m/s takes 5 seconds to slow down to a velocity of 4m/s. Calculate the acceleration of the horse.

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A horse, running at a velocity of 18m/s takes 5 seconds to slow down to a velocity of 4m/s.
Calculate the acceleration of the horse.

A horse, running at a velocity of 18m/s takes 5 seconds to slow down to a velocity of 4m/s. Calculate the acceleration of the horse.

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AbelElite · Tutor for 8 years

Answer

-2.8 m/s²

Explain

## Step 1: <br />Identify the given values from the problem. The initial velocity (vi) = 18 m/s, the final velocity (vf) = 4 m/s, and the time taken (t) = 5 seconds.<br /><br />## Step 2:<br />Understand that acceleration is defined as the rate of change of velocity per unit of time. It can be calculated from the equation \( a = \frac{{vf - vi}}{t} \).<br /><br />## Step 3:<br />Substitute the given values into the acceleration equation. <br /><br />### \( a = \frac{{vf - vi}}{t} = \frac{{4 \mathrm{~m/s} - 18 \mathrm{~m/s}}}{5 \mathrm{~s}} = -\frac{{14 \mathrm{~m/s}}}{5 \mathrm{~s}} = -2.8 \mathrm{~m/s^2} \)<br /><br />Note that the negative sign indicates that the horse is decelerating, i.e., slowing down.
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