The projection of the body’s velocity is given by the equation V = 10 + 0.3t. Write down the formula

The projection of the body’s velocity is given by the equation V = 10 + 0.3t. Write down the formula for the preference of movement and calculate the speed at the end of the 10th second of movement

These tasks: the equation of the projection of the speed of movement V = 10 + 0.3t; t (movement time) = 10 s.

1) To write the formula for the projection of displacement, we calculate the antiderivative (indefinite integral) for the equation of the projection of velocity: S = ∫ (10 + 0.3t) dx = 10t + 0.15t ^ 2 + k, where k is the initial coordinate.

2) Speed at the end of the 10th second: V (10) = 10 + 0.3 * 10 = 13 m / s.

Answer: The equation of the projection of displacement is S = 10t + 0.15t ^ 2 + k, the speed will be 13 m / s.