The movement of a material point is described by the equation x = 5 + 8t + 4t ^ 2. Determine the acceleration of the point.
April 9, 2021 | education
| Given:
x (t) = 5 + 8 * t + 4 * t ^ 2 – the dependence of the coordinates of a material point on time.
It is required to determine the acceleration of a material point a (m / s ^ 2).
Let’s find the dependence of the speed of a material point on time:
v (t) = x (t) ‘= (5 + 8 * t + 4 * t ^ 2)’ = 8 + 8 * t.
Let us find the dependence of the acceleration of a material point on time:
a (t) = v (t) ‘= (8 + 8 * t) = 8 m / s ^ 2.
As you can see, the acceleration of a material point is constant and equal to 8 m / s ^ 2.
Answer: the acceleration of a material point is 8 meters per second squared.
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.