SOLUTION: The acceleration of a point is given by a=4−t^2 m/s^2. Write an equation for the velocity if v=1 m/s when t=3 s.

Algebra ->  Test -> SOLUTION: The acceleration of a point is given by a=4−t^2 m/s^2. Write an equation for the velocity if v=1 m/s when t=3 s.      Log On


   



Question 1075204: The acceleration of a point is given by a=4−t^2 m/s^2. Write an equation for the velocity if v=1 m/s when t=3 s.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Velocity is the first integral of acceleration.
v=int%28%28a%29%2Cdt%29=4t-t%5E3%2F3%2BC
So when t=3,
v=4%283%29-3%5E3%2F3%2BC=1
12-9%2BC=1
3%2BC=1
C=-2
So,
v%28t%29=-t%5E3%2F3%2B4t-2