A motorist traveling at 11 m/s encounters a deer in the road 48m ahead. If the m

Question

A motorist traveling at 11 m/s encounters a deer in the road 48m ahead. If the maximum acceleration the vehicle's brakes are capable of is -5m/s^2, what is the maximum reaction time of the motorist that will allow her to avoid hitting the deer? ---answer in units of s

If her reaction time is 3.55364 s, how fast will she be traveling when she reaches the deer? ---answer in units of m/s

***so, for the first part I got 2.2s and the second part I got -6.7682 m/s. I got both answers wrong. I am hoping someone might show me where I went wrong! Thank you for any help!

Explanation / Answer

At max acceleration, it will take 2.2 seconds to stop. During that time, he will move 12.1 meters. 11/5 = 2.2 11*2.2 + 0.5*(-5)*2.2^2 = 12.1 So he could move 27.9 meters before hitting the breaks. At 11 m/s, that takes 2.536

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