Acceleration 2

If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem

Final Answer:

a =  25.6125 m/s²

Step-by-step explanation:

$$\begin{gathered} v_1=80\text{m/s} \\ {v}_2=100\text{m/s} \\ v=\sqrt{v_1^2+v_2^2}=\sqrt{80^2+100^2}=20\sqrt{41}\text{m/s}\doteq 128.0625\text{m/s} \\ t=5\text{s} \\ a=v/t=128.0625/5=4\sqrt{41}=25.6125{\text{m/s}}^2 \end{gathered}$$

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