From given data v1=65mile/hr
v2=31mile/hr
d=.15mile
In order to just avoid collision the velocity of both cars must be same.
Let after (t) car reaches the truck
Using s=ut+1/2at^2
For truck
s=31t.............1
For car
s+.15=65t-0.5at^2...............2
subtracting 2 equation.
0.15=34t-.5at^2.............3
Also equating velocities at t
31=65-at
at=34.....4
Substituting in 3
0.15=34t-.5*34*t
17t=.15
t=31.76s
substituting in 4
a=1.07mile/s^2
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