The acceleration of the car by definition is:
a=tvf−vi where vf=96km/h=380m/s is the final speed of the car, vi=36km/h=10m/s is the initial speed of the car, and t is the time of acceleration.
The distance d=0.6km=600m travelled under the constant acceleration is given by the kinematic equation:
d=vit+2at2 Substituting a, obtain:
d=vit+2vft−2vit=2(vf+vi)tt=vf+vi2dt=80/3+102⋅600≈32.7s Answer. 32.7 s
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