The acceleration of a particle is defined by the relation a = 3e-0.2t, where a and t are expressed in ft/s2 and seconds, respectively. Knowing that x = 0 and v = 0 at t = 0; Determine the velocity in ft/s of the particle when t = 5 s.

-0.2t 3 The acceleration of a particle is defined by the relation a = 3e where a and t are expressed in ft/s² and seconds, respectively. Knowing that at t = 0, x = v=0, determine the velocity and position of the particle when t = 0.5s. ANS. v(t= 0.5 sec)= 1.43 ft/sec x(t = 0.5 sec) = 0.363 ft

1. The curvilinear motion of a particle is defined by v, = 50- 16t and y = 100 – 4t2 where vz is velocity in meters per second and t, time in seconds. It is also known that x = 0 when t = 0. Determine the velocity and acceleration of the particle when position y = O is reached.