The x and y coordinates of the particle at any time are x = 5 t - 2 t 2 and y = 10 t respectively, where x and y are in meters and t is in seconds. The acceleration of the particle at t = 2  s is

Step-by-step solution

x = 5 t - 2 t 2         y   = 10 t d x d t = 5 - 4 t                 d y d t = 10   The velocity of the particle in x and y coordinate is v x = 5 - 4 t               v y   = 10 d v x d t = - 4             d v y d t = 10 a x =   - 4               a y = 0 Acceleration of particle at t = 2  s is = - 4  m / s 2