i need help with this problem
The acceleration function and the initial velocity for a particle moving along a line are: a(t)= 2t + 3, v(0)= -4, 0

Question

i need help with this problem 
The acceleration function and the initial velocity for a particle moving along a line are: a(t)= 2t + 3, v(0)= -4, 0<t<3

Find the distance traveled during the time interval. Round your answers to tenths.

anonymous · Answer

do you know the formula for displacement in terms of initial velocity and acceleration?

anonymous · Answer

i do not

anonymous · Answer

okay, well it is:
s(t) = u*t+1/2*a*t^2

anonymous · Answer

where u is the initial velocity, a is acceleration, and s is the displacement.

anonymous · Answer

ok

anonymous · Answer

substitute your values in that equation to get displacement

anonymous · Answer

well i get 34.5 but the answer is still wrong

anonymous · Answer

i dont know what i did wrong

anonymous · Answer

you should get 28.5. Is that right?

anonymous · Answer

how did u get that answer

anonymous · Answer

i just substituted t = 3 and u = v(0) = -4

anonymous · Answer

wow thank you

anonymous · Answer

you are welcome.