Solving Car's 2 Braking Times Problem - Physics Help

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A car accelerates from rest at +1.5 m/s² for 5 seconds before braking at -2.0 m/s² for 3 seconds. The user initially struggles with identifying the correct initial conditions and applying the appropriate kinematic equations. After calculating the speed at the end of the acceleration phase, they seek assistance with determining the distance traveled during both the acceleration and braking phases. The discussion highlights the importance of understanding kinematic equations to solve for distance and speed in physics problems. The conversation emphasizes the need for clarity in applying formulas to different segments of motion.
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Ok i have this problem and i have having trouble with it. It reads:

A car starts from rest and travels for 5.0 seconds with a uniform acceleration of +1.5m/s^2. the driver then applies the brakes, causing a uniform acceleration of -2.0m/s^2. If the brakes are applied for 3.0 seconds find: how fast the car is going at the end of the braking period, and how far it has gone

i am confused as which is the initial time and the acceleration to use. i am lost, physics is my worst :frown:
 
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ok i figured out the first part of 1.5m/s as how fast the car is going at the end of the braking period. i just can't figure out the distance
 
What formulas do you have?
 
the kinematic equations'
 
Can you figure out the distance that is traveled while the car is accelerating (before braking)?
 
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