A car starts from rest and moves along the x-axis with
constant acceleration 5 ms*2 for 8 seconds. If it then
continues with constant velocity, what distance will the
car cover in 12 seconds since it started from rest?
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A car starts from rest and moves along the x-axis with constant acceleration 5ms-2 for 8 seconds. If it then continues with constant velocity, what distance will the car cover in 12 seconds since it started from the rest ? v=u+at=0+5×8=40m/s.
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☆Answer☆
Distance covered by car in 12 sec since it started from rest is 320 m.
☆Explanation☆
Here,
u = 0
a = 5 m/s²
t = 8s
Now,
s = ut + (1/2)at²
s = 0+(1/2)+5×8²
s = 160 m
This is the distance moved by the car in first 8 seconds.
Velocity at the end of 8s is
v = u + at
v = 0+5×8
v = 40 m/s
As this velocity is uniform, distance moved in next 4s is
s' = v×t
s' = 40×4
s' = 160 m
Total distance by car in 12s is
=> s+s'
=> 160m + 160m
=> 320 m
✔
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