Question

Материальная точка движется. с ускорением 0,3 м/с^2. Начальная скорость равна 6 м/с. Скорость точки увеличится на 70 % через ?

Answer 1

Calculation of the Time Required for the Velocity to Increase by 70%

To calculate the time required for the velocity of a point to increase by 70%, we need to use the given information about the acceleration and initial velocity.

Given: - Acceleration (a) = 0.3 m/s^2 - Initial velocity (u) = 6 m/s - Percentage increase in velocity = 70%

Let's assume the time required for the velocity to increase by 70% is 't' seconds.

The final velocity (v) can be calculated using the formula: v = u + at To find the percentage increase in velocity, we can use the formula: Percentage increase = (v - u) / u * 100

Substituting the values into the formula, we get: 70% = (v - 6) / 6 * 100

Simplifying the equation, we have: 0.7 = (v - 6) / 6

Solving for 'v', we get: v - 6 = 0.7 * 6 v - 6 = 4.2 v = 10.2 m/s

Now, we can substitute the values of 'u', 'a', and 'v' into the formula for velocity to find the time 't': v = u + at

Substituting the values, we have: 10.2 = 6 + 0.3t

Simplifying the equation, we get: 0.3t = 10.2 - 6 0.3t = 4.2

Dividing both sides by 0.3, we get: t = 4.2 / 0.3 t = 14 seconds

Therefore, the velocity of the point will increase by 70% after approximately 14 seconds.

Conclusion

The velocity of the point will increase by 70% after approximately 14 seconds, given an initial velocity of 6 m/s and an acceleration of 0.3 m/s^2.

Please note that the calculations are based on the given information and assumptions.