How do I answer this question? A car traveling east at 36.8 m/s passes a trooper

Question

How do I answer this question? A car traveling east at 36.8 m/s passes a trooper hiding at the roadside.The driver uniformly reduces his speed to 25.0 m/s in 3.00 s. (a) What is the magnitude and direction of thecar's acceleration as it slows down?
(b) How far does the car travel in the 3.00-s time period?

How do I answer this question? A car traveling east at 36.8 m/s passes a trooper hiding at the roadside.The driver uniformly reduces his speed to 25.0 m/s in 3.00 s. (a) What is the magnitude and direction of thecar's acceleration as it slows down?
(b) How far does the car travel in the 3.00-s time period?

Explanation / Answer

             Given that the initial velocity is U = 36.8 m/s              Final vlocity is V = 25.0 m/s              Time taken is t = 3.00s ---------------------------------------------------------------------------------   (a) The accelaration is a = ( V - U )/t                                         =( 25.0 m/s - 36.8 m/s ) / 3.00s                                         =- 3.93m/s2                   The magnitude of accelaration is a =3.93 m/s2      Direction of accealarationis west ward. (b) The distance travelled by the car is S =Ut + (1/2)at2                                                               = (36.8m/s)(3.00s) + (1/2)(3.93m/s2)(3.00s)2    `                                                          = -------- m                                                               = (36.8m/s)(3.00s) + (1/2)(3.93m/s2)(3.00s)2    `                                                          = -------- m    `                                                          = -------- m

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