Car Acceleration: Determining Speed & Distance

AI Thread Summary
The discussion focuses on calculating the speed and distance of a car that accelerates and then decelerates. The car accelerates from rest at +2.7 m/s² for 6.0 seconds, reaching a speed of 15.2 m/s before braking. During the braking phase, the car decelerates at -1.0 m/s² for 1.0 second. To find the total distance traveled, the problem should be divided into two phases: the acceleration phase and the deceleration phase, using the final speed and position from the first phase as the starting point for the second. This approach allows for accurate calculations of both speed and distance.
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A car starts from rest and travels for 6.0 s with a uniform acceleration of +2.7 m/s2. The driver then applies the brakes, causing a uniform acceleration of −1.0 m/s2. If the brakes are applied for 1.0 s, determine each of the following.

(a) How fast is the car going at the end of the braking period?

(b) How far has the car gone?

So, I already found out part a which is 15.2m/s by utilizing the equation v=v(initial)+at. I'm having some trouble finding the distance traveled with two different accelerations.
 
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As you probably did with the speed, break the problem down into two part: the acceleration phase and the deceleration phase. Use the distance and speed at the end of the first phase as the starting point for the second phase (ie, treat it like a second problem: "a car at x m from the origin, traveling at v m/s brakes at 1 m/s^s for 1s; find its speed and position after it has finished braking").
 
ok thanks!
 
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