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blondinia [14]
2 years ago
7

In a car moving at constant acceleration, you travel 230 m between the instants at which the speedometer reads 40 km/h and 70 km

/h how many seconds does it take you to travel the 230 m ?
Physics
1 answer:
Goryan [66]2 years ago
7 0
The relationship between the distance covered, initial and final speeds, and time can be expressed through the equation,

First equation,

                    2ad = Vf² - Vi²

Substituting the known values,
                   2(a)(0.230 km) = (70 km/h)² - (40 km/h)²
The value of a from the equation is 7173.92 km/h².

Second equation,
                   d = (Vi)(t) + 0.5at²

Substituting the known values,
                    0.230 km = (40 km/h)(t) + (0.5)(7173.92 km/h²)(t²)

The value of t from the equation is 4.1818 x 10^-3 hours which is also equal to 0.2509 minutes or 15 seconds.

Answer: 15 seconds
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In order to solve this problem we must use the expressions of kinematics. The clue to solve this problem is that the cart starts from rest, i.e. its initial speed is zero.

v_{f} =v_{o} +(a*t)

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We must calculate the final velocity.

v_{f}= v_{i} -(a*t)

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Vf = 24 - (1.6*15)

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v_{f} ^{2} =v_{o} ^{2} -2*a*x

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Note: The negative sign in the equations is because the car is desaccelerating, it means its velocity is decreasing.

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