Question

Тело Движется по прямой, так что расстояние S от начальной точки изменяется по закону S=5t -0,5t? (м), (где t- время движения в секундах). Найти скорость тела через 0,3 секунды после начала движения.​

Answer 1

Объяснение:

Решение на фото.............

Answer 2

Problem Analysis

We are given that the distance, S, traveled by an object moving along a straight line is given by the equation S = 5t - 0.5t^2, where t is the time in seconds. We need to find the velocity of the object after 0.3 seconds.

Solution

To find the velocity of the object, we need to differentiate the equation for distance with respect to time. The derivative of distance with respect to time gives us the velocity.

Differentiating the equation S = 5t - 0.5t^2 with respect to t gives us:

v(t) = dS/dt = 5 - t

Now, we can substitute t = 0.3 into the equation to find the velocity after 0.3 seconds:

v(0.3) = 5 - 0.3 = 4.7 m/s

Therefore, the velocity of the object after 0.3 seconds is 4.7 m/s.

Conclusion

The velocity of the object after 0.3 seconds of motion is 4.7 m/s.