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Grade: 11
        A particle mover along the parabolic path x=y^2 + 2y + 2 in such a way that the y-component of velocity  vector remains 5 m/s during the motion.The magnitude of acceleration of the particle is-
10 years ago

Answers : (1)

pratham ashish
9 Points
							Hi,

  A = root{(Ax)^2 + (Ay)^2}

 A= total acceleration

 Ax = acceleration along x axis  = d^2x/dt^2
 Ay  = acceleration along y axis  = d^2y/dt^2

 here vel. in y directn =dy/dt = 5 m/s (constant) => Ay = 0 
 
  now differentiate the given eqn


=> Vx = 2y*dy/dt +2* dy/dt
      = 2y*5  + 2 *5 
      Vx =  10y + 10 

again diff. 

 Ax = 10 *dy/dt = 10* 5 = 50 m/s^2

 A = root{(Ax)^2 + (Ay)^2} =>  A = Ax = 50   (as Ay=0 )



						
10 years ago
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