Question

1) The position of a particle moving along x direction is given by: x=8t-3t2.What is the...

1) The position of a particle moving along x direction is given by: x=8t-3t2.What is the velocity of the particle at t=2 s and what is the acceleration?

2) A roller coaster car starts from rest and descends h1= 40 m. The car has a mass of 75 kg. What is the speed at 20m while going down the hill?

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Answer #1

1)

       = 8-6t

velocity at time t= 2s

v = 8-6*2 = -4 m/s

aceeleration a=

                 a = -6 m/s2

2) from the conservation of energy

   mgh0 = 1/2 mv2 + mgh

         v =

           =

           =19.79 m/s

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