The question asks: An electric vehicle starts from rest and accelerates at a rat

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The question asks:
An electric vehicle starts from rest and accelerates at a rateof 2.2 m/s2 in astraight line until it reaches a speed of 24 m/s. The vehicle then slows at a constant rateof 1.0 m/s2 until it stops.
(a) How much time elapses fromstart to stop?
(b) How far does the vehicletravel from start to stop?
If someone could walk me through this, I would greatlyappreciate that. Thanks!
An electric vehicle starts from rest and accelerates at a rateof 2.2 m/s2 in astraight line until it reaches a speed of 24 m/s. The vehicle then slows at a constant rateof 1.0 m/s2 until it stops.
(a) How much time elapses fromstart to stop?
(b) How far does the vehicletravel from start to stop?
If someone could walk me through this, I would greatlyappreciate that. Thanks!

Explanation / Answer

In accleration : -------------- Initial speed u = 0 final speed v = 24 m / s accleration a = 2.2 m / s ^ 2 time taken to reach the final speed   t = ( v - u )/ a                                                         =10.909 s Distance travel to reach final speed is S = ut + (1/ 2) a t ^ 2                                                              = 0 + 130.909                                                              = 130.909 m In deceleration : --------------- Initial speed u ' = 24 m / s final speed v ' = 0 m / s deceleration a ' = - 1 m / s ^ 2 time taken to stop t ' = ( v ' - u ' ) / t '                                 = 24 s distance travel before stop S ' = [ v ' ^ 2 - u '^ 2 ] /2a '                                               = 288 m (a). time elapses from start to stop = t + t '                                                    = 34.909 s (b). Distance travel by vehicle from start from stop = S+ S '                                                                             = 418.909 m

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