Question

Part A Find an expression for the minimum stopping distance dstop of a car traveling at speed vo if the driver's reaction time is Treact and the magnitude of the acceleration during maximum brak a constant abrake Express your answer in terms of the variables vo, Treact, and aprake. 190 ΑΣΦ Bra ? dstop Submit Request Answer Part B A car traveling at 30 m/s can stop in a distance of 70 m, including the distance traveled during the driver's reaction time of 0.50 s. What is the minimum stopping distance for the same car traveling at a speed of 46 m/s? Express your answer with the appropriate units. HA ? d = Value m Submit Request Answer

Answer 1

The minimum stopping distance of a car can be expressed as the sum of the distance traveled during the driver's reaction time and the distance traveled during the braking process. To find the minimum stopping distance for a car traveling at a different speed, substitute the new value of vo into the equation.

Step-by-step explanation:

The minimum stopping distance of a car can be expressed as the sum of the distance traveled during the driver's reaction time and the distance traveled during the braking process. The equation for the minimum stopping distance, dstop, is:

dstop = vo * Treact + (vo2 / (2 * abrake))

where:

• vo is the initial velocity of the car
• Treact is the driver's reaction time
• abrake is the magnitude of acceleration during maximum braking

To find the minimum stopping distance for a car traveling at a different speed, substitute the new value of vo into the equation.