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Nataliya
2 days ago
5

Consider two cars, a 700kg Porsche and a 600kg Honda Civic. The Porsche is speeding along at 40 m/s (mph) and the Civic is going

half the speed at 20 m/s. If the two cars brake to a stop with the same constant acceleration, lets look at whether the amount of time required to come to a stop or the distance traveled prior to stopping is influenced by their initial velocity.
1. A car traveling 5m/s slams on its brakes, creating an acceleration of -2 m/s^2. How far did the car travel after it applied its brakes?
2. The same car traveling for 10m/s applies the same acceleration of -2 m/s^2. How far did the car travel after it applied its brakes?
Physics
1 answer:
kicyunya [2.9K]2 days ago
7 0

Answer:

Explanation:

To determine the distance a car travels after applying brakes, we utilize the third equation of motion.

2as = Vf² - Vi²

s = (Vf² - Vi²)/2a

1.

Given that:

Vi = Initial Velocity = 5 m/s

Vf = Final Velocity = 0 m/s    (When the car comes to a stop)

a = deceleration = - 2 m/s²

s = distance covered =?

Thus,[TAG_40]]

s = [(0 m/s)² - (5 m/s)²]/2(- 2 m/s²)

s = 6.25 m

2.

In this instance:

Vi = Initial Velocity = 10 m/s

Vf = Final Velocity = 0 m/s    (When the car stops)

a = deceleration = - 2 m/s²

s = distance covered =?

Consequently,[TAG_72]]

s = [(0 m/s)² - (10 m/s)²]/2(- 2 m/s²)

s = 25 m

Thus, the distance covered by the vehicle is directly influenced by the initial speed.

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