Question

The minimum stopping distance for a car traveling at a speed of 30 m/s is 60 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 50

Answer 1

Answer:

150 m

Explanation:

Distance traveled during reaction time = .5 x 30 = 15 m

Actual distance during which there was deceleration = 60 - 15 = 45 m .

force x displacement = kinetic energy

F x s = 1/2 m v² ;

F x 45 = 1/2 m 30² = 450 m ----( 1 )

for second case

Fx S = 1/2 m 50² = 1250 m --------( 2 )

Dividing( 1 )and ( 2 )

S/45 = 1250 /450 = 125 / 45

S = 125 m

Add distance traveled in reaction time in second case = 50 x .5 = 25 m

total distance required = 25 + 125 = 150 m