A car traveling east at 35.8 m/spasses a trooper hiding at the roadside. The dri

Question

A car traveling east at 35.8 m/spasses a trooper hiding at the roadside. The driver uniformlyreduces his speed to 25.0 m/s in 3.00s. (a) What is the magnitude and direction of thecar's acceleration as it slows down?
magnitude 1 m/s2 direction 2---Select---eastwestsouthnorth (b) How far does the car travel in the 3.00-s time period?
3 m (a) What is the magnitude and direction of thecar's acceleration as it slows down?
magnitude 1 m/s2 direction 2---Select---eastwestsouthnorth (b) How far does the car travel in the 3.00-s time period?
3 m magnitude 1 m/s2 direction 2---Select---eastwestsouthnorth

Explanation / Answer

(a) What is the magnitude and direction of the car'sacceleration as it slows down?
     {AccelerationMagnitude} = 3.6 m/sec^2
          = a =
          = ((v_2) -(v_1))/T
          = ((35.8) -(25.0))/(3.0)
          = 3.6m/sec^2
     {AccelerationDirection} = {WEST}

(b) How far doesthe car travel in the 3.00-s time period?
     {Distance Traveled} = (v_1)*T -(1/2)*a*T^2 =
          = (35.8)*(3.0) - (1/2)*(3.6)*(3.0)^2
          = 91.2 m

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