
HoYin T.
asked 10/01/19You are in a car traveling at 100 m/s. You are hitting both your brakes, giving a constant acceleration of -5 m/s^2. How much time does it take you to stop? How far have you done in that time?
2 Answers By Expert Tutors

Jonathon L. answered 10/01/19
Specializing in Mathematics and Physics up to the Undergraduate level
If the Velocity is 100m/s, and the acceleration is -5m/s, simply use the formula: a= (v2-v1)/t and solve for the time. If this is a calculus based class, you can then integrate the equation for velocity/acceleration, using 0 and the time you found to find the distance traveled. Otherwise, you can use the Distance formula: d= v*t +(1/2 a*t^2).
use v2=v1^2+2ad and a=v/t
t=v/a, so t=100/5 = 20 seconds
then 0=100^2+2(-5)*d and then d = 10000/10 = 1000 meters.
not to mention that 100 m/s is over 220 mph...
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Jonathon L.
Is this a calculus-based physics course?10/01/19