Mathematics, 17.03.2020 04:23 swaise3300
A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2. Calculate how far the car travels in the time it takes to stop. Round your answer to one decimal place.
Answers: 3
) = 40 ft/sec
) = -10 ft/sec²
) = 0 ft/sec
using chain rule of differentiation. Therefore,
![\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft](/tpl/images/0550/1717/673eb.png)
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A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a c...
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