Answer to Question #294318 in Physics for mrymmm

Question #294318

A car is traveling to the left, which is the negative direction. The direction of travel remains the same throughout this problem. The car's initial speed is 34.1 m/s, and during a 5.87-second interval, it changes to a final speed of (a)51.1 m/s and (b)30.6 m/s. In each case, find the acceleration (magnitude and algebraic sign)


1
Expert's answer
2022-02-06T14:33:43-0500

Given:

vix=34.1m/sv_{ix}=-34.1\:\rm m/s

t=5.87st=5.87\:\rm s


The acceleration of the car

ax=vfxvixta_x=\frac{v_{fx}-v_{ix}}{t}

(a)

ax=51.1(34.1)5.87=2.90m/s2a_x=\frac{-51.1-(-34.1)}{5.87}=-2.90\:\rm m/s^2

(b)

ax=30.6(34.1)5.87=0.60m/s2a_x=\frac{-30.6-(-34.1)}{5.87}=0.60\:\rm m/s^2


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