Question

the position coordinates of a moving particle is given by x= 3+12t+t^2.where x is in meters and t is in seconds. what is the velocity at t=2s?

Answer 1

hey here is your answer

v = dx/dt = d(3+12t+t²)/dt = 0+12+2t

so, velocity = 2t+12
velocity at t = 2sec,
v = 12+2(2)
v = 12+4
v = 16m/s

hope it helps
have a good day ☺

Answer 2

by doing differentiation we can find the answer
f