You drive with a constant speed of 12.5 m/s for 32.5 s. You then accelerate for

Question

You drive with a constant speed of 12.5 m/s for 32.5 s. You then accelerate for 11.5 s to a speed of 23.5 m/s. You then slow to a stop in 11.5 s. How far have you traveled?

Explanation / Answer

distance traveled while from constant speed=speed *time ==>12.5*32.5=406.25 m=S1(say) while accelerating final velocity (v)=23.5 m/s initial velocity(u)=12.5 m/s time taken (t)=11.5 s assume constant acceleration ==> distance traveled =average speed *time =[(v+u)/2]* t =(12.5+23.5)*11.5/2=207 m=S2(say) total distance traveled =S1+S2 =406.25+207=613.25 m ==>total distance traveled =613.25 m

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