Physics
26.09.2020 13:54
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Acar traveling at 91.0 km/h approaches the turn off for a restaurant 30.0 m ahead.

Acar traveling at 91.0 km/h approaches the turn off for a restaurant 30.0 m ahead. if the driver slams on the brakes with the an acceleration of -6.40m/s^2what will her stopping distance
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dsuarez1
dsuarez1
4,7(84 marks)

49.92 m

Explanation:

In this situation the following equation will be useful:

V^{2}=V_{o}^{2} +2 a d

Where:

V=0 m/s is the final velocity of the car, when it finally stops

V_{o}=91 \frac{km}{h} \frac{1000 m}{1 km} \frac{1 h}{3600 s}=25.27 m/s is the initial velocity of the car

a=-6.4 m/s^{2} is the constant acceleration of the car after the driver slams on the brakes

d is the stopping distance

Isolating d:

d=\frac{-V_{o}^{2}}{2a}

d=\frac{-(25.27 m/s)^{2}}{2(-6.4 m/s^{2})}

d=41.919 m \approx 41.92 m

skyemichellec
skyemichellec
4,4(87 marks)
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