What is the value of the initial velocity of a body if its movement occurs according to the law x = 15 + 3t + 4t ^ 2 (m)?
September 27, 2021 | education
| Given:
x (t) = 15 + 3 * t + 4 * t ^ 2 – the equation of body motion.
It is required to determine the initial velocity of the body v0.
General view of the body motion equation:
x (t) = x0 + v0 * t + a * t ^ 2/2, where:
x0 is the initial coordinate, v0 is the initial velocity, a is the acceleration of the body.
Substituting the value from the first equation into the second, we get that:
x0 = 15 meters, v0 = 3 m / s, a = 8 m / s ^ 2.
Answer: the initial speed is 3 m / s.
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.