The vector position of a particle varies in time according to the expression = 5.60 - 6.80 t2 where is in meters and t is in seconds.
a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.)
c) Calculate the particle's position and velocity at t = 5.00 s