To find the speed of the particle 3 seconds after passing point A, we can use the equation of motion that relates speed (v), initial speed (u), acceleration (a), and time (t):
v = u + at
Given: Acceleration (a) = 2 m/s^2 Initial speed (u) = 12 m/s Time (t) = 3 seconds
Plugging in the values:
v = 12 + (2 * 3) v = 12 + 6 v = 18 m/s
Therefore, the speed of the particle 3 seconds after passing point A is 18 m/s.