(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A car is traveling along a straight road at a velocity of +31.0 m/s when its engine cuts out. For the next ten seconds, the car slows down, and its average acceleration is a_{1}. For the next five seconds, the car slows down further, and its average acceleration is a_{2}. The velocity at the end of the fifteen-second period is +24.5 m/s. The ratio of the average acceleration values is a_{1}/a_{2}= 1.67. Find the velocity of the car at the end of the initial ten-second interval.

2. Relevant equations

V_{F}= V_{0}+ at

V_{F}= Final velocity

V_{0}= Initial velocity

a = acceleration

t = time

3. The attempt at a solution

The answer is+26 m/s, but I don't know how to get it...

24.5 = 31.0 + a_{2}(15)

a_{2}= -13/30 = -4.333...

a_{1}= -3.8534

V_{F}= 31.0 + (-3.8534)(10)

V_{F}= -7.534

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# Homework Help: Velocity Problem

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