A Top Fuel dragster accelerates uniformly from rest to a speed of 497.52 kph in a time of 4.96 seconds. How long does it take the car to reach 100 m/s?

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Answer 1 · 2015-08-22T22:43:43

#3.59"s"#

Use this equation of motion:

#v=u+at#

We need to convert the final velocity into #"m/s"#:

#497.52"km/hr"=497.52xx10^3"m/hr"#

#=(497.52xx10^3)/(60xx60)=138.2"m/s"#

The acceleration is the rate of change of velocity with time which is:

#a=(138.2-0)/(4.96)=27.86m.s^(-2)#

So:

#100=0+27.86xxt#

#t=100/27.86=3.59"s"#