An electric vehicle starts from rest and accelerates at a rateof 1.9 m/s 2 in a

Question

An electric vehicle starts from rest and accelerates at a rateof 1.9 m/s2 in a straight line until it reaches a speedof 19 m/s. The vehicle then slows at a constant rate of 1.4m/s2 until it stops. (a) How much time elapses fromstart to stop? (b) How far does the vehicle move from start tostop?

An electric vehicle starts from rest and accelerates at a rateof 1.9 m/s2 in a straight line until it reaches a speedof 19 m/s. The vehicle then slows at a constant rate of 1.4m/s2 until it stops. (a) How much time elapses fromstart to stop? (b) How far does the vehicle move from start tostop?

Explanation / Answer

time taken during accelerated motion 19=0+1.9t so t=10sec time taken to stop 0=19t1-1.4t1*t1 t1=14/19=0.7368sec How much time elapses from start to stop 10+0.7368=10.7358sec from velocity time curve distancetravelled=1/2*v*10.7358=1/2*19*10.7358=101.99m

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