a car travels in a straight line with vatying velocity given by v={t - t0}m/s for 0

Question

a car travels in a straight line with vatying velocity given by v={t - t0}m/s for 0<_<_2t0 where t=time and t0= time at which velocity is zero the distance travelled by the car in this interval is?

anonymous · Answer

option are    t0^2           2t0^2            3/2t0^2          0

inkyvoyd · Answer

Not sure. Can we go back to the last qusetion?

anonymous · Answer

the answer is a

inkyvoyd · Answer

I'm not sure how to answer this question. @dumbcow ?

anonymous · Answer

i think we have to use vector

anonymous · Answer

x= $$x=x0+v0 \times t + at ^{2}/2$$
since 
x0 = 0 - there is no any notion on initial position of object
v0 = v(t0)=0 it is given in problem
we get
$$x=at ^{2}/2$$

anonymous · Answer

let's find 
acceleration

anonymous · Answer

ok

anonymous · Answer

at=v 
=>
a=v/t
v= t-t0
a=(t-t0)/ t

dumbcow · Answer

i guess i would go with
$$d = \int\limits_{0}^{2t_0}v(t) dt$$

anonymous · Answer

Now try to put expression for a and t= 2t0 in
$$x=at ^{2}/2$$

anonymous · Answer

i get it thanxx to both of u  another question plzz view it