Calculating Velocity from Acceleration: Solving for Time

[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.

 

[malawi_glenn]

Double post..

 

[chaoseverlasting]

a=dv/dt. Integrate to get v.