A car accelerates from rest along a straight road and its distance from the starting point is given by the equation S = 5 4 t 2 S=\frac54t^2 , where S S is the distance in meters and t t is the time in seconds. If the car needs to reach a speed of 90 km/h 90~\text{km/h} to safely merge onto a highway, how long will it take to reach this speed, and what distance will the car cover?

10 s 10~\text{s} S ( 10 ) = 125 m S\left(10\right)=125~\text{m} S ( 10 ) = 125 m

12 s 12~\text{s} S ( 12 ) = 180 m S\left(12\right)=180~\text{m}

12 s 12~\text{s} S ( 12 ) = 195 m S\left(12\right)=195~\text{m}

10 s 10~\text{s} S ( 10 ) = 150 m S\left(10\right)=150~\text{m}

A car accelerates from rest along a straight road and its distanc...

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