The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line. Find (a) the velocity at time t and (b) the distance traveled during the given time interval.
a(t)= t+4, v(0)=5, 0 is less than or equal to t which is less than or equal to 10

I know that the velocity is (t^2)/2 +4t +5 I'm mostly having trouble with the absolute value part of part b.

Question

The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line. Find (a) the velocity at time t and (b) the distance traveled during the given time interval.
a(t)= t+4,    v(0)=5, 0 is less than or equal to t which is less than or equal to 10

I know that the velocity is (t^2)/2 +4t +5 I'm mostly having trouble with the absolute value part of part b.

irishboy123 · Answer

have you integrated v(t) over interval 0 ≤ t ≤ 10?  

[by v(t) i mean your description: ie  velocity is (t^2)/2 +4t +5]

that is how you find the distance travelled.