Question

Тело начинает движение со скоростью 5 м/с. За какое время оно проходит путь 200м, если его ускорение равно 1 м/с?

Answer 1

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Answer 2

Calculation of Time to Cover a Distance with Given Initial Velocity and Acceleration

To calculate the time it takes for an object to cover a distance with a given initial velocity and acceleration, we can use the equations of motion. In this case, the body starts with an initial velocity of 5 m/s and has an acceleration of 1 m/s². The distance to be covered is 200 m.

The equation that relates distance (s), initial velocity (u), acceleration (a), and time (t) is:

s = ut + (1/2)at² We can rearrange this equation to solve for time (t):

t = (sqrt(2as + u²) - u) / a Substituting the given values into the equation:

t = (sqrt(2 * 1 * 200 + 5²) - 5) / 1

Calculating this expression:

t = (sqrt(400 + 25) - 5) / 1

t = (sqrt(425) - 5) / 1

t ≈ (20.62 - 5) / 1

t ≈ 15.62 seconds

Therefore, it will take approximately 15.62 seconds for the body to cover a distance of 200 meters with an initial velocity of 5 m/s and an acceleration of 1 m/s².

Please note that the calculations are approximate due to rounding.

Conclusion

The body will take approximately 15.62 seconds to cover a distance of 200 meters with an initial velocity of 5 m/s and an acceleration of 1 m/s².

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