How Long Will It Take for the Car to Collide with the Truck?

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The discussion revolves around calculating the time it takes for a car, initially 25 meters behind a truck, to collide with it after the truck suddenly brakes. The car is traveling at 110 km/h and is decelerating at -6.5 m/s². The user initially misapplies the formula for time and seeks clarification on the correct approach to determine if a collision occurs and the necessary changes in deceleration to ensure it does. Additionally, the user is interested in the distance the car covers before coming to a stop and whether that distance is greater or less than 25 meters. The conversation emphasizes the need to correctly compute the time to decelerate to zero before proceeding with further calculations.
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Ok so the car is 25 m behind a truck which suddenly braked. I put it as decelerating at -6.5 m/s it was traveling at 110km/h . I would like to know how long it takes to collide with the truck , and if it dosent what would I have to change the deceleration to be so that it does collide with the truck?
What I did was
v=vo+at
t=(v-vo)/a
t=30.5556/(-6.5)
but that's obviously wrong
I don't know what to do next
or what other formula to use
 
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How fast was the car going and how fast is it decelerating, starting with how long after the truck is decelerating?
 
the car was traveling at 110km/h when they noticed that the truck was not moving , it was 25 meters behind , I said it was decelerating at 6.5 m/s so how long would it take till it got to the truck and at what speed would it hit the truck. If the car does not reach the truck can you please suggest a different deceleration?
 
In the absence of the truck, how much distance is covered by the car from the moment it starts to decelerate until its speed = 0? Is that distance < or > 25m? (Hint: you first need to compute the time to decelerate to zero, which you have already done except for the wrong sign).

When you get this part we can continue with the second part of the question.
 
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