Question #304600

acceleration of a car that comes to a stop from a velocity of 60 m/s in a distance of 360 m


1
Expert's answer
2022-03-02T14:38:55-0500

Using the kinematic formula (see https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/a/what-are-the-kinematic-formulas), obtain:


v2=v02adv^2 = v_0^2-ad

where v=0,v0=60m/sv=0,v_0=60m/s are the final and initial velocities respectively, d=360md = 360m is the distance, and aa is the acceleration (- sign since the car comes to stop). Thus, obtain:


a=v02d=602360=10m/s2a = \dfrac{v_0^2}{d} = \dfrac{60^2}{360} = 10m/s^2

Answer. 10m/s^2.


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