The body moves in a straight line at a speed of V = 9t ^ 2 + 1 m per second. Find the length of the path traversed
| April 30, 2021 | education
The body moves in a straight line at a speed of V = 9t ^ 2 + 1 m per second. Find the length of the path traversed by the body in 10 seconds from the beginning of the movement.
Time travel is the antiderivative of speed in time (instantaneous speed), so the desired path is expressed by a definite integral:
s = integral (from 0 to 10) (9 * t² + 1) dt = 3 * t³ + t (from 0 to 10) = 3 * 10³ + 10 = 3000 + 10 = 3010 m.
Answer: in 10 s from the beginning of the movement, the body will cover a distance of 3010 m.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
