Particle Acceleration and zero velocity

[bdb1324]

A particle's acceleration is described by the function a_x =(10 -t) m/s^2, where t is in s. Its initial conditions are x_0 =0 m and v_0x =0 m/s at t =0 s.

At what time is the velocity again zero?

I am having a hard time setting this problem up with where to begin if someone could help me with a formula that would be much appreciated.

 

[bdb1324]

Ax = (10-t)m/s^2
Xi = 0 m
Vi = 0 m/s
t = 0 s

since acceleration is A = (Vf-Vi)/t

 

[hotvette]

Hint. You are given a = f(t). How can you get v from this? Think calculus.

 

[ghostanime2001]

integration right?