Question

In 3.0 seconds, the braking of an automobile reduces its speed from 59 miles per hour to 20 miles per hour. How far does...


In 3.0 seconds, the braking of an automobile reduces its speed from 59 miles per hour to 20 miles per hour. How far does the vehicle drive during this time? Note: 1 mile Equals 1609 meters.]
Transcribed: In 3.0 seconds, the braking of an automobile reduces its speed from 59 miles per hour to 20 miles per hour. How far does the vehicle drive during this time? Note: 1 mile Equals 1609 meters.

Answer

Solution:-Given thattime (t)=3 sInitial speed (u)=59 miles per hourFinal speed (V)=20 miles per hour1 mile=1609 m

Initial speed(u)=59×16093600m/s=26.37 m/sFinal speed (V)=20×16093600 m/s=8.94 m/sNow, using equation of motion;V=u+at8.94=26.37+a×3a=-5.81 m/s2Again using equation of motion;S=ut+12at2S=26.37×3+12×(-5.81)×32S=52.965 mHence, distance travelled by the vehicle during 3 s=52.965 m

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