1) Given the following position vector, which describes the motion of a fluid element with respect to time, calculate the velocity and acceleration of a fluid particle as a function of time. This particle starts at the origin of the coordinate axis at time zero. Determine the velocity and acceleration of fluid particle at x and y direction and the speed of fluid particle for time 0s, 1s, 2s and 4s and. Plot the fluid particles position for time Os, 1s, 2s and 4s in x vs. y plot (Please use excel or any other graphical computational tool to draw the plots -hand drawn approximate plots are not acceptable). F(t) = (3ms-¹) (t + (s−¹) t²) ex ex + (2ms ¹)tey

Fig: 1