Question

Двигаясь с начальной скоростью 54км/ч, автомобиль за 10с прошел путь 155м. С каким ускорением двигался автомобиль и какую скорость он приобрел в конце пути?

Answer 1

Given Information:

- Initial velocity of the car: 54 km/h - Time taken: 10 s - Distance traveled: 155 m

Calculating Acceleration:

To calculate the acceleration of the car, we can use the formula:

Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)

Since the car starts from rest (u = 0), the formula simplifies to:

Acceleration (a) = Final Velocity (v) / Time (t)

We can rearrange the formula to solve for acceleration:

a = v / t

Substituting the given values:

a = 155 m / 10 s

Using the given values, we can calculate the acceleration of the car.

Calculating Final Velocity:

To calculate the final velocity of the car, we can use the formula:

Final Velocity (v) = Initial Velocity (u) + Acceleration (a) * Time (t)

Substituting the given values:

v = 54 km/h + (155 m / 10 s) * 10 s

Converting the initial velocity from km/h to m/s:

v = (54 km/h * 1000 m/km) / (3600 s/h) + (155 m / 10 s) * 10 s

Simplifying the equation:

v = 15 m/s + 155 m

Using the given values, we can calculate the final velocity of the car.

Answer:

The car was accelerating at an acceleration of 15 m/s^2 and it acquired a final velocity of 170 m/s at the end of the journey.

Please note that the final velocity is calculated assuming the car started from rest. If the car had an initial velocity other than zero, the final velocity would be different.