a rocket propelled car starts from rest at x = 0 and moves in the positive direction of x with constant acceleration a = 5m/s2 for 8 seconds until the fuel is exhausted. it then continues with constant velocity. what distance does the car cover in 12 seconds?

Here,

a = 5 ms-2

t1 = 8 s

t2 = 12 s

u = 0

Distance traversed in 8 s under acceleration

s1 = ½at12

=> s1 = ½×5×(8)2

=> s1 = 160 m

Final velocity at end of 8 s

v = at

=> v = 5×8 = 40 ms-1

Distance travelled with constant velocity of 40 ms-1 will be

s2 = v(t2 – t1)

  = 40(12 - 8)

  = 160 m

Total distance covered = s1 + s2

= 160 + 160

= 320 m

 

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