- #1
HRubss
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Homework Statement
A car, length 2.4m, traveling at 26m/s wants to pass a large truck, length 12m, also traveling at 26m/s. If the car can accelerate at 4.4m/s2, how much time will it take the car to pass the truck (note the back of the car has to be in front of the truck)? How far will the car have traveled during this time? How much time did it take the car to pass the truck?
Homework Equations
v12 = v02 +2a(x1-x0)
v12 = v02 + a(t)
The Attempt at a Solution
I started off with plugging in the numbers in the first equation to get v1 and then plugged that in the second equation to get t.
v12 = (24m/s)2 + 2(4.4m/s2)(12m-2.4m)
(≈26m/s)=(24m/s)+(4.4m/s2)(t) which gave me t ≈ 0.39s
but I feel like that only gives me the time it takes to speed up to the truck and not actually pass it. So then I arbitrarily used 13m and inserted that in the first equation as x1 instead of 12m since 13m is further than 12m but that still gave me ≈26m/s which is the same velocity that the truck is driving so I wouldn't think it would pass the truck either, t ≈ 0.42s in this case.
I appreciate any help!