Ok... this is a long one, please bear with me!(adsbygoogle = window.adsbygoogle || []).push({});

A car is driving at a constant velocity of 18 m/s. There is a school on the road with the stop sign extended. The car is 40 m away from bus when he sees the sign. There is a time dealy of 0.75 seconds bewtween the time the driver sees the sign ans when the driver can begin to slow down. During the reaction time the distance "d" in meters travelled by the car is given by the equation d= 18t, "t" is time in seconds from when the driver sees the bus.

When the brakes are appled after the 0.75 second reaction time, the equation is: d= -3t^2 + 22.5t - 1.6875.

After the brakes are applied it takes 3 seconds for the car to come to a stop. These 3 seconds plus the 0.75 second driver reaction time means the care stops 3.75 seconds after seeing the school bus.

What is the piecewise-defined function to describe the distance travelled by the car until it stops

How far does the car travel before stopping?

Does the car hit the bus?

I'd appreciate some tips on this one!

Thanks guys!

Erin

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# Piecewise Linear Functions!

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