Calculating truck speed in collision with a tree | Physics problem solution

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SUMMARY

The truck, experiencing a uniform deceleration of -5.60 m/s² over a duration of 4.20 seconds, travels a distance of 62.4 meters before colliding with a tree. The final speed of the truck at the moment of impact is calculated to be 26.6 m/s using the equation dx = v₀t + 0.5at². The initial velocity (v₀) is confirmed to be the speed of the truck before braking, and the equation v = v₀ + at is also applicable for determining the final speed.

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Question:
The driver of a truck slams on the brakes when he sees a tree blocking the road. The truck slows down uniformly with an acceleration of -5.60 m/s2 for 4.20 s, making skid marks 62.4 m long that end at the tree. With what speed does the truck then strike the tree?

Conclusion:
equation: dx = volt + .5at^2
62.4 m = v (4.20s) + .5 (-5.60 m/s^2) (4.20s)
v=26.6 m/s

May you experts please check if this is correct? Thanks a bunch.
 
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is volt the initial velocity*time ?

if so is the case, you only calculated the initial speed of the truck.

v=vo + at
 

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