Question

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A car starts from rest and moves along the x-axis with constant acceleration 5m/s^2 for 8 second. if it then continuous with constant velocity what distance will the car cover in 12 seconds and it started from rest.
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Answer 1

Hi .dear...
here is your solution.....
  u=0
a=5m/s^2
t=8s
using the eqn s=ut+1/2 at2,
s=0+(1/2)*5*(8^2)
s=160m..................this s d distnce travelled in 8 sec.
now in next case .
the final velocity in the frst becomes the initial in the sec.
find the final velocity. v=u+at.
u get v=40m/s.
in the secnd prt it is said that the body moves with uniform velocity. ie a=0
using the eqn s=ut+1/2at2,
u get s=(40*4)+0
s=160m.
thrfore the total distance travelled equals 160+160
=320m..
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#shubhendu