What constant acceleration is required to increase the speed of a car from 30 mi/hr to 50 mi/hr in 5 seconds?

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- Jul 21st 2008, 02:17 PMjkeatinConstant Acceleration
What constant acceleration is required to increase the speed of a car from 30 mi/hr to 50 mi/hr in 5 seconds?

- Jul 22nd 2008, 11:39 AMChris L T521
Since $\displaystyle v_f=50\frac{\text{mi}}{\text{hr}}$ and $\displaystyle v_i=30\frac{\text{mi}}{\text{hr}}$, then

$\displaystyle a=\frac{\Delta v}{\Delta t}=\frac{50\frac{\text{mi}}{\text{hr}}-30\frac{\text{mi}}{\text{hr}}}{5\text{ sec}-0\text{ sec}}\approx {\color{red}\boxed{0.001\frac{\text{mi}}{\text{s}^ 2}}}\approx \color{red}\boxed{1.788\frac{\text{m}}{\text{s}^2} }$

I hope that this makes sense! :D

--Chris