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A car , starting from rest, accelerates ...

A car , starting from rest, accelerates at the rate `f` through a distance `S` then continues at constant speed for time `t` and then decelerates at the rate `(f)/(2)` to come to rest . If the total distance traversed is `15 S` , then

A

`S=(1)/(6) ft^(2)`

B

`S=ft`

C

`S=(1)/(4)ft^(2)`

D

`S=(1)/(72)ft^(2)`

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